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Finding the Fourth Proportional to 408.29, 563.43 and 221.78

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Solution

The fourth proportional to 408.29, 563.43 and 221.78 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 563.43 = 221.78 : x
  2. Step 2: Convert to fraction form
    408.29/563.43 = 221.78/x
  3. Step 3: Cross multiply
    408.29x = 563.43 × 221.78
  4. Step 4: Simplify right side
    408.29x = 124,954.69
  5. Step 5: Solve for x
    x = 124,954.69/408.29
  6. Step 6: Final answer
    x = 306.05

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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.