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Finding the Fourth Proportional to 408.26, 612.34 and 115.74

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Solution

The fourth proportional to 408.26, 612.34 and 115.74 is: 173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 612.34 = 115.74 : x
  2. Step 2: Convert to fraction form
    408.26/612.34 = 115.74/x
  3. Step 3: Cross multiply
    408.26x = 612.34 × 115.74
  4. Step 4: Simplify right side
    408.26x = 70,872.23
  5. Step 5: Solve for x
    x = 70,872.23/408.26
  6. Step 6: Final answer
    x = 173.60

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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.