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Finding the Fourth Proportional to 445.30, 667.62 and 213.97

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Solution

The fourth proportional to 445.30, 667.62 and 213.97 is: 320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.30 : 667.62 = 213.97 : x
  2. Step 2: Convert to fraction form
    445.30/667.62 = 213.97/x
  3. Step 3: Cross multiply
    445.30x = 667.62 × 213.97
  4. Step 4: Simplify right side
    445.30x = 142,847.75
  5. Step 5: Solve for x
    x = 142,847.75/445.30
  6. Step 6: Final answer
    x = 320.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.