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Finding the Fourth Proportional to 367.57, 506.96 and 234.83

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Solution

The fourth proportional to 367.57, 506.96 and 234.83 is: 323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.57 : 506.96 = 234.83 : x
  2. Step 2: Convert to fraction form
    367.57/506.96 = 234.83/x
  3. Step 3: Cross multiply
    367.57x = 506.96 × 234.83
  4. Step 4: Simplify right side
    367.57x = 119,049.42
  5. Step 5: Solve for x
    x = 119,049.42/367.57
  6. Step 6: Final answer
    x = 323.88

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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.