Park the RV and set the emergency brake. Check that all water connections to the RV are disconnected and flip the main circuit breaker off. Open the fresh water tank housing panel--typically to the outer left side of the RV. Prop the panel up with the hatch and locate the housing area for the fresh water tank. Most RVs have dedicated housing areas for the fresh water tank; if unsure of your RVs housing area's whereabouts, consult the manual.
Pull the outflow hose from the rear of the panel to a convenient location to work with the hose. Be careful not to over-pull and disrupt the plumbing connections. Push the new fresh water tank into the housing after removing the cap on the outflow valve. Slide a hose clamp over the outflow hose and push the hose onto the tank's outflow valve. Slide the hose clamp down and over where the hose meets the valve and tighten with a screwdriver.
Screw the water filter to the inflow hose leading from the fill nozzle. Slide a hose clamp onto the inflow hose and push the hose onto the tank's inflow valve. Slide the hose clamp down and onto where the hose meets the valve and tighten with a screwdriver.
Apply caulking around the connections and hose clamps and let the caulk dry.
Connect the water to the RV and turn the main circuit back on. Fill the fresh water tank and turn on the faucets and shower to test the connections, and that the system works. It may take a moment for the hoses to prime when first opening the faucets.