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Finding the Fourth Proportional to 721.50, 1,082.25 and 234.59

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Solution

The fourth proportional to 721.50, 1,082.25 and 234.59 is: 351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.50 : 1,082.25 = 234.59 : x
  2. Step 2: Convert to fraction form
    721.50/1,082.25 = 234.59/x
  3. Step 3: Cross multiply
    721.50x = 1,082.25 × 234.59
  4. Step 4: Simplify right side
    721.50x = 253,879.62
  5. Step 5: Solve for x
    x = 253,879.62/721.50
  6. Step 6: Final answer
    x = 351.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.