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Finding the Fourth Proportional to 445.38, 667.22 and 229.10

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Solution

The fourth proportional to 445.38, 667.22 and 229.10 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.38 : 667.22 = 229.10 : x
  2. Step 2: Convert to fraction form
    445.38/667.22 = 229.10/x
  3. Step 3: Cross multiply
    445.38x = 667.22 × 229.10
  4. Step 4: Simplify right side
    445.38x = 152,860.10
  5. Step 5: Solve for x
    x = 152,860.10/445.38
  6. Step 6: Final answer
    x = 343.21

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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.