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Finding the Fourth Proportional to 408.69, 564.00 and 222.18

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Solution

The fourth proportional to 408.69, 564.00 and 222.18 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.69 : 564.00 = 222.18 : x
  2. Step 2: Convert to fraction form
    408.69/564.00 = 222.18/x
  3. Step 3: Cross multiply
    408.69x = 564.00 × 222.18
  4. Step 4: Simplify right side
    408.69x = 125,312.55
  5. Step 5: Solve for x
    x = 125,312.55/408.69
  6. Step 6: Final answer
    x = 306.62

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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.