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Finding the Fourth Proportional to 402.81, 557.19 and 337.20

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Solution

The fourth proportional to 402.81, 557.19 and 337.20 is: 466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.81 : 557.19 = 337.20 : x
  2. Step 2: Convert to fraction form
    402.81/557.19 = 337.20/x
  3. Step 3: Cross multiply
    402.81x = 557.19 × 337.20
  4. Step 4: Simplify right side
    402.81x = 187,884.47
  5. Step 5: Solve for x
    x = 187,884.47/402.81
  6. Step 6: Final answer
    x = 466.43

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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.