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Finding the Fourth Proportional to 542.50, 748.46 and 321.52

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Solution

The fourth proportional to 542.50, 748.46 and 321.52 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 748.46 = 321.52 : x
  2. Step 2: Convert to fraction form
    542.50/748.46 = 321.52/x
  3. Step 3: Cross multiply
    542.50x = 748.46 × 321.52
  4. Step 4: Simplify right side
    542.50x = 240,644.86
  5. Step 5: Solve for x
    x = 240,644.86/542.50
  6. Step 6: Final answer
    x = 443.58

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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.