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Finding the Fourth Proportional to 381.28, 571.99 and 227.13

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Solution

The fourth proportional to 381.28, 571.99 and 227.13 is: 340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 571.99 = 227.13 : x
  2. Step 2: Convert to fraction form
    381.28/571.99 = 227.13/x
  3. Step 3: Cross multiply
    381.28x = 571.99 × 227.13
  4. Step 4: Simplify right side
    381.28x = 129,914.77
  5. Step 5: Solve for x
    x = 129,914.77/381.28
  6. Step 6: Final answer
    x = 340.73

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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.