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Finding the Fourth Proportional to 542.16, 748.17 and 293.48

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Solution

The fourth proportional to 542.16, 748.17 and 293.48 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 748.17 = 293.48 : x
  2. Step 2: Convert to fraction form
    542.16/748.17 = 293.48/x
  3. Step 3: Cross multiply
    542.16x = 748.17 × 293.48
  4. Step 4: Simplify right side
    542.16x = 219,572.00
  5. Step 5: Solve for x
    x = 219,572.00/542.16
  6. Step 6: Final answer
    x = 404.99

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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.