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Finding the Fourth Proportional to 408.64, 563.91 and 222.13

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Solution

The fourth proportional to 408.64, 563.91 and 222.13 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 563.91 = 222.13 : x
  2. Step 2: Convert to fraction form
    408.64/563.91 = 222.13/x
  3. Step 3: Cross multiply
    408.64x = 563.91 × 222.13
  4. Step 4: Simplify right side
    408.64x = 125,260.20
  5. Step 5: Solve for x
    x = 125,260.20/408.64
  6. Step 6: Final answer
    x = 306.53

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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.