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Finding the Fourth Proportional to 542.25, 748.26 and 321.15

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Solution

The fourth proportional to 542.25, 748.26 and 321.15 is: 443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 748.26 = 321.15 : x
  2. Step 2: Convert to fraction form
    542.25/748.26 = 321.15/x
  3. Step 3: Cross multiply
    542.25x = 748.26 × 321.15
  4. Step 4: Simplify right side
    542.25x = 240,303.70
  5. Step 5: Solve for x
    x = 240,303.70/542.25
  6. Step 6: Final answer
    x = 443.16

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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.