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Finding the Fourth Proportional to 331.12, 456.33 and 232.71

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Solution

The fourth proportional to 331.12, 456.33 and 232.71 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 456.33 = 232.71 : x
  2. Step 2: Convert to fraction form
    331.12/456.33 = 232.71/x
  3. Step 3: Cross multiply
    331.12x = 456.33 × 232.71
  4. Step 4: Simplify right side
    331.12x = 106,191.72
  5. Step 5: Solve for x
    x = 106,191.72/331.12
  6. Step 6: Final answer
    x = 320.70

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Why These Related Problems?

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