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Finding the Fourth Proportional to 408.69, 563.99 and 222.17

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Solution

The fourth proportional to 408.69, 563.99 and 222.17 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.69 : 563.99 = 222.17 : x
  2. Step 2: Convert to fraction form
    408.69/563.99 = 222.17/x
  3. Step 3: Cross multiply
    408.69x = 563.99 × 222.17
  4. Step 4: Simplify right side
    408.69x = 125,300.55
  5. Step 5: Solve for x
    x = 125,300.55/408.69
  6. Step 6: Final answer
    x = 306.59

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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.