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Finding the Fourth Proportional to 542.32, 748.26 and 321.16

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Solution

The fourth proportional to 542.32, 748.26 and 321.16 is: 443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 748.26 = 321.16 : x
  2. Step 2: Convert to fraction form
    542.32/748.26 = 321.16/x
  3. Step 3: Cross multiply
    542.32x = 748.26 × 321.16
  4. Step 4: Simplify right side
    542.32x = 240,311.18
  5. Step 5: Solve for x
    x = 240,311.18/542.32
  6. Step 6: Final answer
    x = 443.12

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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.