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Finding the Fourth Proportional to 323.30, 446.36 and 212.97

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Solution

The fourth proportional to 323.30, 446.36 and 212.97 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.30 : 446.36 = 212.97 : x
  2. Step 2: Convert to fraction form
    323.30/446.36 = 212.97/x
  3. Step 3: Cross multiply
    323.30x = 446.36 × 212.97
  4. Step 4: Simplify right side
    323.30x = 95,061.29
  5. Step 5: Solve for x
    x = 95,061.29/323.30
  6. Step 6: Final answer
    x = 294.03

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Why These Related Problems?

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