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Finding the Fourth Proportional to 542.54, 748.70 and 306.50

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Solution

The fourth proportional to 542.54, 748.70 and 306.50 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 748.70 = 306.50 : x
  2. Step 2: Convert to fraction form
    542.54/748.70 = 306.50/x
  3. Step 3: Cross multiply
    542.54x = 748.70 × 306.50
  4. Step 4: Simplify right side
    542.54x = 229,476.55
  5. Step 5: Solve for x
    x = 229,476.55/542.54
  6. Step 6: Final answer
    x = 422.97

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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.