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Finding the Fourth Proportional to 408.42, 563.67 and 251.08

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Solution

The fourth proportional to 408.42, 563.67 and 251.08 is: 346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 563.67 = 251.08 : x
  2. Step 2: Convert to fraction form
    408.42/563.67 = 251.08/x
  3. Step 3: Cross multiply
    408.42x = 563.67 × 251.08
  4. Step 4: Simplify right side
    408.42x = 141,524.85
  5. Step 5: Solve for x
    x = 141,524.85/408.42
  6. Step 6: Final answer
    x = 346.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.