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Finding the Fourth Proportional to 381.87, 571.28 and 331.07

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Solution

The fourth proportional to 381.87, 571.28 and 331.07 is: 495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 571.28 = 331.07 : x
  2. Step 2: Convert to fraction form
    381.87/571.28 = 331.07/x
  3. Step 3: Cross multiply
    381.87x = 571.28 × 331.07
  4. Step 4: Simplify right side
    381.87x = 189,129.16
  5. Step 5: Solve for x
    x = 189,129.16/381.87
  6. Step 6: Final answer
    x = 495.27

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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.