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Finding the Fourth Proportional to 542.11, 748.18 and 355.76

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Solution

The fourth proportional to 542.11, 748.18 and 355.76 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.11 : 748.18 = 355.76 : x
  2. Step 2: Convert to fraction form
    542.11/748.18 = 355.76/x
  3. Step 3: Cross multiply
    542.11x = 748.18 × 355.76
  4. Step 4: Simplify right side
    542.11x = 266,172.52
  5. Step 5: Solve for x
    x = 266,172.52/542.11
  6. Step 6: Final answer
    x = 490.99

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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.