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Finding the Fourth Proportional to 397.30, 595.92 and 108.73

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Solution

The fourth proportional to 397.30, 595.92 and 108.73 is: 163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.30 : 595.92 = 108.73 : x
  2. Step 2: Convert to fraction form
    397.30/595.92 = 108.73/x
  3. Step 3: Cross multiply
    397.30x = 595.92 × 108.73
  4. Step 4: Simplify right side
    397.30x = 64,794.38
  5. Step 5: Solve for x
    x = 64,794.38/397.30
  6. Step 6: Final answer
    x = 163.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.