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Finding the Fourth Proportional to 397.53, 596.31 and 108.97

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Solution

The fourth proportional to 397.53, 596.31 and 108.97 is: 163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 596.31 = 108.97 : x
  2. Step 2: Convert to fraction form
    397.53/596.31 = 108.97/x
  3. Step 3: Cross multiply
    397.53x = 596.31 × 108.97
  4. Step 4: Simplify right side
    397.53x = 64,979.90
  5. Step 5: Solve for x
    x = 64,979.90/397.53
  6. Step 6: Final answer
    x = 163.46

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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.