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Finding the Fourth Proportional to 312.71, 431.57 and 225.43

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Solution

The fourth proportional to 312.71, 431.57 and 225.43 is: 311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 431.57 = 225.43 : x
  2. Step 2: Convert to fraction form
    312.71/431.57 = 225.43/x
  3. Step 3: Cross multiply
    312.71x = 431.57 × 225.43
  4. Step 4: Simplify right side
    312.71x = 97,286.62
  5. Step 5: Solve for x
    x = 97,286.62/312.71
  6. Step 6: Final answer
    x = 311.11

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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.