I'm sure I could have forced it in. But I encountered stiff resistance getting it into the leading edge, and I didn't like the way the springs were bowed, so I backed off. I'm not going to gorilla a 75 year old camera. Was bad enough to discover it had a set of (leaking) C-Cell Eveready batteries in it-- one of which had swollen enough to pull the retaining screws out of the inside of the camera. Fortunately, it didn't do much damage.
Here's someone else's with what I presume is a graflok style back:
And the back it uses is in this picture:
The back on my camera looks more like this one:
Although mine is olive-drab and has the Marine Corps plate instead of the civilian plate.
I'm also curious why the flip-up wireframe finder appears to be installed backwards-- in this picture, the frame flips down *forward*, and lays against the lens box. This one, the frame wants to bend backwards, and lie across the top of the back of the camera.
Finally, is that a button above the winding knob for the FPS? Mine looks very much like a button, but doesn't seem to do much.
While it came with the original case, I'm afraid the case gave it's life protecting the camera and flash unit inside-- the case has water damage, dry rot, rust-- it's all there, but I suspect by the time it's repaired, it's a new case.