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Finding the Fourth Proportional to 408.72, 564.05 and 222.22

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Solution

The fourth proportional to 408.72, 564.05 and 222.22 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 564.05 = 222.22 : x
  2. Step 2: Convert to fraction form
    408.72/564.05 = 222.22/x
  3. Step 3: Cross multiply
    408.72x = 564.05 × 222.22
  4. Step 4: Simplify right side
    408.72x = 125,344.05
  5. Step 5: Solve for x
    x = 125,344.05/408.72
  6. Step 6: Final answer
    x = 306.67

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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.