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Finding the Fourth Proportional to 542.21, 748.24 and 306.16

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Solution

The fourth proportional to 542.21, 748.24 and 306.16 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.21 : 748.24 = 306.16 : x
  2. Step 2: Convert to fraction form
    542.21/748.24 = 306.16/x
  3. Step 3: Cross multiply
    542.21x = 748.24 × 306.16
  4. Step 4: Simplify right side
    542.21x = 229,079.67
  5. Step 5: Solve for x
    x = 229,079.67/542.21
  6. Step 6: Final answer
    x = 422.49

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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.