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Finding the Fourth Proportional to 381.12, 571.26 and 227.28

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Solution

The fourth proportional to 381.12, 571.26 and 227.28 is: 340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.12 : 571.26 = 227.28 : x
  2. Step 2: Convert to fraction form
    381.12/571.26 = 227.28/x
  3. Step 3: Cross multiply
    381.12x = 571.26 × 227.28
  4. Step 4: Simplify right side
    381.12x = 129,835.97
  5. Step 5: Solve for x
    x = 129,835.97/381.12
  6. Step 6: Final answer
    x = 340.67

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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.