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Finding the Fourth Proportional to 408.42, 563.63 and 221.92

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Solution

The fourth proportional to 408.42, 563.63 and 221.92 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 563.63 = 221.92 : x
  2. Step 2: Convert to fraction form
    408.42/563.63 = 221.92/x
  3. Step 3: Cross multiply
    408.42x = 563.63 × 221.92
  4. Step 4: Simplify right side
    408.42x = 125,079.08
  5. Step 5: Solve for x
    x = 125,079.08/408.42
  6. Step 6: Final answer
    x = 306.25

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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.