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Finding the Fourth Proportional to 362.71, 500.27 and 231.76

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Solution

The fourth proportional to 362.71, 500.27 and 231.76 is: 319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.71 : 500.27 = 231.76 : x
  2. Step 2: Convert to fraction form
    362.71/500.27 = 231.76/x
  3. Step 3: Cross multiply
    362.71x = 500.27 × 231.76
  4. Step 4: Simplify right side
    362.71x = 115,942.58
  5. Step 5: Solve for x
    x = 115,942.58/362.71
  6. Step 6: Final answer
    x = 319.66

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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.