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Finding the Fourth Proportional to 542.52, 748.61 and 306.50

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Solution

The fourth proportional to 542.52, 748.61 and 306.50 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 748.61 = 306.50 : x
  2. Step 2: Convert to fraction form
    542.52/748.61 = 306.50/x
  3. Step 3: Cross multiply
    542.52x = 748.61 × 306.50
  4. Step 4: Simplify right side
    542.52x = 229,443.69
  5. Step 5: Solve for x
    x = 229,443.69/542.52
  6. Step 6: Final answer
    x = 422.93

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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.