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Finding the Fourth Proportional to 718.75, 990.33 and 497.31

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Solution

The fourth proportional to 718.75, 990.33 and 497.31 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.75 : 990.33 = 497.31 : x
  2. Step 2: Convert to fraction form
    718.75/990.33 = 497.31/x
  3. Step 3: Cross multiply
    718.75x = 990.33 × 497.31
  4. Step 4: Simplify right side
    718.75x = 492,501.01
  5. Step 5: Solve for x
    x = 492,501.01/718.75
  6. Step 6: Final answer
    x = 685.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.