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Finding the Fourth Proportional to 397.98, 596.97 and 109.42

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Solution

The fourth proportional to 397.98, 596.97 and 109.42 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 596.97 = 109.42 : x
  2. Step 2: Convert to fraction form
    397.98/596.97 = 109.42/x
  3. Step 3: Cross multiply
    397.98x = 596.97 × 109.42
  4. Step 4: Simplify right side
    397.98x = 65,318.96
  5. Step 5: Solve for x
    x = 65,318.96/397.98
  6. Step 6: Final answer
    x = 164.13

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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.