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Finding the Fourth Proportional to 379.20, 523.24 and 231.74

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Solution

The fourth proportional to 379.20, 523.24 and 231.74 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 523.24 = 231.74 : x
  2. Step 2: Convert to fraction form
    379.20/523.24 = 231.74/x
  3. Step 3: Cross multiply
    379.20x = 523.24 × 231.74
  4. Step 4: Simplify right side
    379.20x = 121,255.64
  5. Step 5: Solve for x
    x = 121,255.64/379.20
  6. Step 6: Final answer
    x = 319.77

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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.