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Finding the Fourth Proportional to 323.65, 446.47 and 240.49

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Solution

The fourth proportional to 323.65, 446.47 and 240.49 is: 331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.65 : 446.47 = 240.49 : x
  2. Step 2: Convert to fraction form
    323.65/446.47 = 240.49/x
  3. Step 3: Cross multiply
    323.65x = 446.47 × 240.49
  4. Step 4: Simplify right side
    323.65x = 107,371.57
  5. Step 5: Solve for x
    x = 107,371.57/323.65
  6. Step 6: Final answer
    x = 331.75

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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.