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Finding the Fourth Proportional to 379.52, 523.70 and 232.20

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Solution

The fourth proportional to 379.52, 523.70 and 232.20 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 523.70 = 232.20 : x
  2. Step 2: Convert to fraction form
    379.52/523.70 = 232.20/x
  3. Step 3: Cross multiply
    379.52x = 523.70 × 232.20
  4. Step 4: Simplify right side
    379.52x = 121,603.14
  5. Step 5: Solve for x
    x = 121,603.14/379.52
  6. Step 6: Final answer
    x = 320.41

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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.