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I'm in the middle of this on my 24 Outrage right now. I thought just the section of the tank deck up by the console was wet. I pulled the deck to check on the whole thing, since I had to do the fore deck anyways, and I'm glad I did. It felt a little soft in some spots, but when I pulled the fiberglass back, the entire deck was totally water logged. The outermost fiberglass mat was holding the structure together and the wet wood was the soft "filling". The point I'm trying to make is for you to be sure about why those screws are loose and why the deck is soft. Its easier to fix it now, or at the end of the season this year than it is to wait.

Your approach sounds correct for what you are considering. Is there water seeping from the 10 screw holes?