A lot of this depends on the line you are looking for. In the 400' range, there are two shots I go to if they need to finish to the right. They both vary greatly with regards to the amount of room and the type of line to get there.
The first is the hyzer flip turnover that has been mentioned. Once you get the shot down, and find a disc with a suitable amount of understablity (too much and you'll end up with rollers, too little and you'll never actually track to the right), this shot is golden, and one of the more graceful looking shots you'll pull out. An ideal line for this shot (for me at least) will turn VERY slowly. Note that when I say turn, I mean the actual turning of the disc from hyzer to anhyzer. A significant portion of the flight consists of the disc on a hyzer line, but pushing forward dead straight. The disc should gradually get up to flat (this can be as late as ~75% of the way down the fairway on most of my shots; sometimes later) then gradually begin to turn and track to the right at the end of the flight. It is almost an exact counterpart to a left handed backhand going straight and fading as far as the flight path is concerned.
This shot requires very little height, but doesn't have as much potential for actual movement to the right. Of course, you can add height and power as you get it down to allow for more potential for the disc to move to the right.
The other shot I'll pull out (and possibly one of my favorites to throw) is simply a pure anhyzer. If the hyzer flip turnover shot is a graceful shot, this is its brute force cousin (in reality both shots require similar amounts of power and grace to pull off). An S-PD is typically my go to disc for this, although I'll through several depending on conditions. You want something that will hold a line for you throughout most of the flight, and gradually fade out towards the end. Now when I say fade out, the disc never actually fades back to the left. But it does fade back from a significant anzhyzer in order to finish flat. This shot will require a lot of height (upwards of 30 or 40 ft, depending on the exact line). I'll typically start this shot going off of the left side of the tee pad, usually aiming for an apex that is a little over half way down the fairway. Ideally, the apex should be, obviously your highest point, but also your left most point in the trajectory. This is all assuming your disc doesn't stall out (meaning the disc was too flat at the apex and the nose came up).
From the apex, the disc will travel down and to the right. This is where the amount of fade a disc has is important. Landing this type of shot accurately takes a great deal more precision than landing an equivalent hyzer. If the disc fades too much, it will push back out forward rather than to the right. The good news is that you will likely be throwing some of your longest shots if this happens to you. If the disc doesn't fade enough, you'll end up with the disc rolling. Usually this means a shallow landing roller (meaning its rolling closer to flat and likely won't stand up all the way like a typical roller). This will take the disc straight back to the left. In more extreme cases, the disc will stand up and roll forward. Again, congrats. As you probably threw another of your longest shots in this case. When the disc lands, you want the disc to be flying "straight" and flat. Pending the conditions, usually the disc will slide further to the right. I say straight with quotation marks because it is actually flying as it would had you just thrown a flat and straight shot. Its just moving mostly towards the right.
These shots are considered two of the more advanced shots you'll likely learn, and will take practice to actually make them usable. I'd also like to note that these are the basis for the types of shots you'll see with distance throwers. Obviously with variations placing distance over accuracy made to them.
