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Finding the Fourth Proportional to 408.25, 563.37 and 221.74

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Solution

The fourth proportional to 408.25, 563.37 and 221.74 is: 305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 563.37 = 221.74 : x
  2. Step 2: Convert to fraction form
    408.25/563.37 = 221.74/x
  3. Step 3: Cross multiply
    408.25x = 563.37 × 221.74
  4. Step 4: Simplify right side
    408.25x = 124,921.66
  5. Step 5: Solve for x
    x = 124,921.66/408.25
  6. Step 6: Final answer
    x = 305.99

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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.