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Finding the Fourth Proportional to 408.90, 612.54 and 226.14

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Solution

The fourth proportional to 408.90, 612.54 and 226.14 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 612.54 = 226.14 : x
  2. Step 2: Convert to fraction form
    408.90/612.54 = 226.14/x
  3. Step 3: Cross multiply
    408.90x = 612.54 × 226.14
  4. Step 4: Simplify right side
    408.90x = 138,519.80
  5. Step 5: Solve for x
    x = 138,519.80/408.90
  6. Step 6: Final answer
    x = 338.76

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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.