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Finding the Fourth Proportional to 379.31, 523.46 and 231.92

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Solution

The fourth proportional to 379.31, 523.46 and 231.92 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 523.46 = 231.92 : x
  2. Step 2: Convert to fraction form
    379.31/523.46 = 231.92/x
  3. Step 3: Cross multiply
    379.31x = 523.46 × 231.92
  4. Step 4: Simplify right side
    379.31x = 121,397.07
  5. Step 5: Solve for x
    x = 121,397.07/379.31
  6. Step 6: Final answer
    x = 320.05

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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.