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Finding the Fourth Proportional to 387.27, 579.86 and 232.97

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Solution

The fourth proportional to 387.27, 579.86 and 232.97 is: 348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.27 : 579.86 = 232.97 : x
  2. Step 2: Convert to fraction form
    387.27/579.86 = 232.97/x
  3. Step 3: Cross multiply
    387.27x = 579.86 × 232.97
  4. Step 4: Simplify right side
    387.27x = 135,088.82
  5. Step 5: Solve for x
    x = 135,088.82/387.27
  6. Step 6: Final answer
    x = 348.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.