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Finding the Fourth Proportional to 379.60, 523.86 and 232.24

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Solution

The fourth proportional to 379.60, 523.86 and 232.24 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.60 : 523.86 = 232.24 : x
  2. Step 2: Convert to fraction form
    379.60/523.86 = 232.24/x
  3. Step 3: Cross multiply
    379.60x = 523.86 × 232.24
  4. Step 4: Simplify right side
    379.60x = 121,661.25
  5. Step 5: Solve for x
    x = 121,661.25/379.60
  6. Step 6: Final answer
    x = 320.50

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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.