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Finding the Fourth Proportional to 323.73, 446.99 and 213.36

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Solution

The fourth proportional to 323.73, 446.99 and 213.36 is: 294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.73 : 446.99 = 213.36 : x
  2. Step 2: Convert to fraction form
    323.73/446.99 = 213.36/x
  3. Step 3: Cross multiply
    323.73x = 446.99 × 213.36
  4. Step 4: Simplify right side
    323.73x = 95,370.10
  5. Step 5: Solve for x
    x = 95,370.10/323.73
  6. Step 6: Final answer
    x = 294.60

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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.