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Finding the Fourth Proportional to 721.33, 1,082.25 and 234.38

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Solution

The fourth proportional to 721.33, 1,082.25 and 234.38 is: 351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.33 : 1,082.25 = 234.38 : x
  2. Step 2: Convert to fraction form
    721.33/1,082.25 = 234.38/x
  3. Step 3: Cross multiply
    721.33x = 1,082.25 × 234.38
  4. Step 4: Simplify right side
    721.33x = 253,661.05
  5. Step 5: Solve for x
    x = 253,661.05/721.33
  6. Step 6: Final answer
    x = 351.66

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