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Finding the Fourth Proportional to 625.06, 938.49 and 409.06

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Solution

The fourth proportional to 625.06, 938.49 and 409.06 is: 614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.06 : 938.49 = 409.06 : x
  2. Step 2: Convert to fraction form
    625.06/938.49 = 409.06/x
  3. Step 3: Cross multiply
    625.06x = 938.49 × 409.06
  4. Step 4: Simplify right side
    625.06x = 383,898.72
  5. Step 5: Solve for x
    x = 383,898.72/625.06
  6. Step 6: Final answer
    x = 614.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.