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Finding the Fourth Proportional to 542.47, 748.57 and 402.14

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Solution

The fourth proportional to 542.47, 748.57 and 402.14 is: 554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.47 : 748.57 = 402.14 : x
  2. Step 2: Convert to fraction form
    542.47/748.57 = 402.14/x
  3. Step 3: Cross multiply
    542.47x = 748.57 × 402.14
  4. Step 4: Simplify right side
    542.47x = 301,029.94
  5. Step 5: Solve for x
    x = 301,029.94/542.47
  6. Step 6: Final answer
    x = 554.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.