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Finding the Fourth Proportional to 539.38, 807.54 and 409.91

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Solution

The fourth proportional to 539.38, 807.54 and 409.91 is: 613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.38 : 807.54 = 409.91 : x
  2. Step 2: Convert to fraction form
    539.38/807.54 = 409.91/x
  3. Step 3: Cross multiply
    539.38x = 807.54 × 409.91
  4. Step 4: Simplify right side
    539.38x = 331,018.55
  5. Step 5: Solve for x
    x = 331,018.55/539.38
  6. Step 6: Final answer
    x = 613.70

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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.