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Finding the Fourth Proportional to 542.24, 748.28 and 306.20

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Solution

The fourth proportional to 542.24, 748.28 and 306.20 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 748.28 = 306.20 : x
  2. Step 2: Convert to fraction form
    542.24/748.28 = 306.20/x
  3. Step 3: Cross multiply
    542.24x = 748.28 × 306.20
  4. Step 4: Simplify right side
    542.24x = 229,118.06
  5. Step 5: Solve for x
    x = 229,118.06/542.24
  6. Step 6: Final answer
    x = 422.54

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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.