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Finding the Fourth Proportional to 362.52, 500.16 and 231.61

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Solution

The fourth proportional to 362.52, 500.16 and 231.61 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.52 : 500.16 = 231.61 : x
  2. Step 2: Convert to fraction form
    362.52/500.16 = 231.61/x
  3. Step 3: Cross multiply
    362.52x = 500.16 × 231.61
  4. Step 4: Simplify right side
    362.52x = 115,838.40
  5. Step 5: Solve for x
    x = 115,838.40/362.52
  6. Step 6: Final answer
    x = 319.54

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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.