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Finding the Fourth Proportional to 397.80, 596.71 and 109.23

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Solution

The fourth proportional to 397.80, 596.71 and 109.23 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 596.71 = 109.23 : x
  2. Step 2: Convert to fraction form
    397.80/596.71 = 109.23/x
  3. Step 3: Cross multiply
    397.80x = 596.71 × 109.23
  4. Step 4: Simplify right side
    397.80x = 65,180.90
  5. Step 5: Solve for x
    x = 65,180.90/397.80
  6. Step 6: Final answer
    x = 163.85

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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.