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Finding the Fourth Proportional to 721.34, 1,082.21 and 234.44

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Solution

The fourth proportional to 721.34, 1,082.21 and 234.44 is: 351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.34 : 1,082.21 = 234.44 : x
  2. Step 2: Convert to fraction form
    721.34/1,082.21 = 234.44/x
  3. Step 3: Cross multiply
    721.34x = 1,082.21 × 234.44
  4. Step 4: Simplify right side
    721.34x = 253,706.73
  5. Step 5: Solve for x
    x = 253,706.73/721.34
  6. Step 6: Final answer
    x = 351.72

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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.