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Finding the Fourth Proportional to 379.71, 523.88 and 232.29

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Solution

The fourth proportional to 379.71, 523.88 and 232.29 is: 320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.71 : 523.88 = 232.29 : x
  2. Step 2: Convert to fraction form
    379.71/523.88 = 232.29/x
  3. Step 3: Cross multiply
    379.71x = 523.88 × 232.29
  4. Step 4: Simplify right side
    379.71x = 121,690.92
  5. Step 5: Solve for x
    x = 121,690.92/379.71
  6. Step 6: Final answer
    x = 320.48

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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.