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Finding the Fourth Proportional to 381.26, 572.96 and 227.21

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Solution

The fourth proportional to 381.26, 572.96 and 227.21 is: 341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 572.96 = 227.21 : x
  2. Step 2: Convert to fraction form
    381.26/572.96 = 227.21/x
  3. Step 3: Cross multiply
    381.26x = 572.96 × 227.21
  4. Step 4: Simplify right side
    381.26x = 130,182.24
  5. Step 5: Solve for x
    x = 130,182.24/381.26
  6. Step 6: Final answer
    x = 341.45

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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.