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Finding the Fourth Proportional to 311.52, 428.92 and 272.71

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Solution

The fourth proportional to 311.52, 428.92 and 272.71 is: 375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 428.92 = 272.71 : x
  2. Step 2: Convert to fraction form
    311.52/428.92 = 272.71/x
  3. Step 3: Cross multiply
    311.52x = 428.92 × 272.71
  4. Step 4: Simplify right side
    311.52x = 116,970.77
  5. Step 5: Solve for x
    x = 116,970.77/311.52
  6. Step 6: Final answer
    x = 375.48

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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.