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Finding the Fourth Proportional to 542.16, 748.31 and 321.21

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Solution

The fourth proportional to 542.16, 748.31 and 321.21 is: 443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 748.31 = 321.21 : x
  2. Step 2: Convert to fraction form
    542.16/748.31 = 321.21/x
  3. Step 3: Cross multiply
    542.16x = 748.31 × 321.21
  4. Step 4: Simplify right side
    542.16x = 240,363.05
  5. Step 5: Solve for x
    x = 240,363.05/542.16
  6. Step 6: Final answer
    x = 443.34

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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.