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Finding the Fourth Proportional to 362.39, 500.13 and 229.68

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Solution

The fourth proportional to 362.39, 500.13 and 229.68 is: 316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.39 : 500.13 = 229.68 : x
  2. Step 2: Convert to fraction form
    362.39/500.13 = 229.68/x
  3. Step 3: Cross multiply
    362.39x = 500.13 × 229.68
  4. Step 4: Simplify right side
    362.39x = 114,869.86
  5. Step 5: Solve for x
    x = 114,869.86/362.39
  6. Step 6: Final answer
    x = 316.98

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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.