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Finding the Fourth Proportional to 323.20, 446.33 and 234.81

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Solution

The fourth proportional to 323.20, 446.33 and 234.81 is: 324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 446.33 = 234.81 : x
  2. Step 2: Convert to fraction form
    323.20/446.33 = 234.81/x
  3. Step 3: Cross multiply
    323.20x = 446.33 × 234.81
  4. Step 4: Simplify right side
    323.20x = 104,801.57
  5. Step 5: Solve for x
    x = 104,801.57/323.20
  6. Step 6: Final answer
    x = 324.26

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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.