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Finding the Fourth Proportional to 323.85, 446.61 and 213.22

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Solution

The fourth proportional to 323.85, 446.61 and 213.22 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.85 : 446.61 = 213.22 : x
  2. Step 2: Convert to fraction form
    323.85/446.61 = 213.22/x
  3. Step 3: Cross multiply
    323.85x = 446.61 × 213.22
  4. Step 4: Simplify right side
    323.85x = 95,226.18
  5. Step 5: Solve for x
    x = 95,226.18/323.85
  6. Step 6: Final answer
    x = 294.04

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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.