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Finding the Fourth Proportional to 362.34, 500.22 and 231.57

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Solution

The fourth proportional to 362.34, 500.22 and 231.57 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 500.22 = 231.57 : x
  2. Step 2: Convert to fraction form
    362.34/500.22 = 231.57/x
  3. Step 3: Cross multiply
    362.34x = 500.22 × 231.57
  4. Step 4: Simplify right side
    362.34x = 115,835.95
  5. Step 5: Solve for x
    x = 115,835.95/362.34
  6. Step 6: Final answer
    x = 319.69

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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.