Step 1 :Given the length of the river span of a bridge is 1962.5 ft and the total length of the bridge is 6680 ft.
Step 2 :We need to convert the length of the river span of the bridge from feet to meters.
Step 3 :To convert the length from feet to meters, we can use the conversion factor 1 foot = 0.3048 meters.
Step 4 :We multiply the length of the river span of the bridge in feet by this conversion factor to get the length in meters: \(1962.5 \times 0.3048 = 598.1700000000001\) meters.
Step 5 :Final Answer: The length of the river span of the bridge in meters is approximately \(\boxed{598.17}\).