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Finding the Fourth Proportional to 380.92, 571.54 and 227.14

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Solution

The fourth proportional to 380.92, 571.54 and 227.14 is: 340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.92 : 571.54 = 227.14 : x
  2. Step 2: Convert to fraction form
    380.92/571.54 = 227.14/x
  3. Step 3: Cross multiply
    380.92x = 571.54 × 227.14
  4. Step 4: Simplify right side
    380.92x = 129,819.60
  5. Step 5: Solve for x
    x = 129,819.60/380.92
  6. Step 6: Final answer
    x = 340.81

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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.