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Finding the Fourth Proportional to 379.62, 523.89 and 232.26

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Solution

The fourth proportional to 379.62, 523.89 and 232.26 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.62 : 523.89 = 232.26 : x
  2. Step 2: Convert to fraction form
    379.62/523.89 = 232.26/x
  3. Step 3: Cross multiply
    379.62x = 523.89 × 232.26
  4. Step 4: Simplify right side
    379.62x = 121,677.53
  5. Step 5: Solve for x
    x = 121,677.53/379.62
  6. Step 6: Final answer
    x = 320.53

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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.