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Finding the Fourth Proportional to 814.28, 1,221.39 and 237.14

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Solution

The fourth proportional to 814.28, 1,221.39 and 237.14 is: 355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.28 : 1,221.39 = 237.14 : x
  2. Step 2: Convert to fraction form
    814.28/1,221.39 = 237.14/x
  3. Step 3: Cross multiply
    814.28x = 1,221.39 × 237.14
  4. Step 4: Simplify right side
    814.28x = 289,640.42
  5. Step 5: Solve for x
    x = 289,640.42/814.28
  6. Step 6: Final answer
    x = 355.70

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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.