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Finding the Fourth Proportional to 441.72, 609.33 and 323.97

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Solution

The fourth proportional to 441.72, 609.33 and 323.97 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.72 : 609.33 = 323.97 : x
  2. Step 2: Convert to fraction form
    441.72/609.33 = 323.97/x
  3. Step 3: Cross multiply
    441.72x = 609.33 × 323.97
  4. Step 4: Simplify right side
    441.72x = 197,405.85
  5. Step 5: Solve for x
    x = 197,405.85/441.72
  6. Step 6: Final answer
    x = 446.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.