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Finding the Fourth Proportional to 397.66, 596.42 and 109.10

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Solution

The fourth proportional to 397.66, 596.42 and 109.10 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.66 : 596.42 = 109.10 : x
  2. Step 2: Convert to fraction form
    397.66/596.42 = 109.10/x
  3. Step 3: Cross multiply
    397.66x = 596.42 × 109.10
  4. Step 4: Simplify right side
    397.66x = 65,069.42
  5. Step 5: Solve for x
    x = 65,069.42/397.66
  6. Step 6: Final answer
    x = 163.63

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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.