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Finding the Fourth Proportional to 412.27, 618.47 and 123.73

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Solution

The fourth proportional to 412.27, 618.47 and 123.73 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.27 : 618.47 = 123.73 : x
  2. Step 2: Convert to fraction form
    412.27/618.47 = 123.73/x
  3. Step 3: Cross multiply
    412.27x = 618.47 × 123.73
  4. Step 4: Simplify right side
    412.27x = 76,523.29
  5. Step 5: Solve for x
    x = 76,523.29/412.27
  6. Step 6: Final answer
    x = 185.61

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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.