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Finding the Fourth Proportional to 408.24, 613.44 and 343.44

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Solution

The fourth proportional to 408.24, 613.44 and 343.44 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 613.44 = 343.44 : x
  2. Step 2: Convert to fraction form
    408.24/613.44 = 343.44/x
  3. Step 3: Cross multiply
    408.24x = 613.44 × 343.44
  4. Step 4: Simplify right side
    408.24x = 210,679.83
  5. Step 5: Solve for x
    x = 210,679.83/408.24
  6. Step 6: Final answer
    x = 516.07

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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.