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Finding the Fourth Proportional to 625.92, 865.20 and 502.80

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Solution

The fourth proportional to 625.92, 865.20 and 502.80 is: 695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 865.20 = 502.80 : x
  2. Step 2: Convert to fraction form
    625.92/865.20 = 502.80/x
  3. Step 3: Cross multiply
    625.92x = 865.20 × 502.80
  4. Step 4: Simplify right side
    625.92x = 435,022.56
  5. Step 5: Solve for x
    x = 435,022.56/625.92
  6. Step 6: Final answer
    x = 695.01

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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.