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Finding the Fourth Proportional to 381.86, 527.69 and 271.88

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Solution

The fourth proportional to 381.86, 527.69 and 271.88 is: 375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.86 : 527.69 = 271.88 : x
  2. Step 2: Convert to fraction form
    381.86/527.69 = 271.88/x
  3. Step 3: Cross multiply
    381.86x = 527.69 × 271.88
  4. Step 4: Simplify right side
    381.86x = 143,466.40
  5. Step 5: Solve for x
    x = 143,466.40/381.86
  6. Step 6: Final answer
    x = 375.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.