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Finding the Fourth Proportional to 397.77, 596.70 and 109.23

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Solution

The fourth proportional to 397.77, 596.70 and 109.23 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.77 : 596.70 = 109.23 : x
  2. Step 2: Convert to fraction form
    397.77/596.70 = 109.23/x
  3. Step 3: Cross multiply
    397.77x = 596.70 × 109.23
  4. Step 4: Simplify right side
    397.77x = 65,177.54
  5. Step 5: Solve for x
    x = 65,177.54/397.77
  6. Step 6: Final answer
    x = 163.86

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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.