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Finding the Fourth Proportional to 542.34, 748.17 and 355.75

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Solution

The fourth proportional to 542.34, 748.17 and 355.75 is: 490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 748.17 = 355.75 : x
  2. Step 2: Convert to fraction form
    542.34/748.17 = 355.75/x
  3. Step 3: Cross multiply
    542.34x = 748.17 × 355.75
  4. Step 4: Simplify right side
    542.34x = 266,159.61
  5. Step 5: Solve for x
    x = 266,159.61/542.34
  6. Step 6: Final answer
    x = 490.76

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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.