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Finding the Fourth Proportional to 542.43, 748.54 and 321.49

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Solution

The fourth proportional to 542.43, 748.54 and 321.49 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 748.54 = 321.49 : x
  2. Step 2: Convert to fraction form
    542.43/748.54 = 321.49/x
  3. Step 3: Cross multiply
    542.43x = 748.54 × 321.49
  4. Step 4: Simplify right side
    542.43x = 240,645.19
  5. Step 5: Solve for x
    x = 240,645.19/542.43
  6. Step 6: Final answer
    x = 443.65

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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.