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Finding the Fourth Proportional to 408.50, 613.16 and 226.05

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Solution

The fourth proportional to 408.50, 613.16 and 226.05 is: 339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.50 : 613.16 = 226.05 : x
  2. Step 2: Convert to fraction form
    408.50/613.16 = 226.05/x
  3. Step 3: Cross multiply
    408.50x = 613.16 × 226.05
  4. Step 4: Simplify right side
    408.50x = 138,604.82
  5. Step 5: Solve for x
    x = 138,604.82/408.50
  6. Step 6: Final answer
    x = 339.30

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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.