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Finding the Fourth Proportional to 323.52, 446.49 and 213.03

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Solution

The fourth proportional to 323.52, 446.49 and 213.03 is: 294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.52 : 446.49 = 213.03 : x
  2. Step 2: Convert to fraction form
    323.52/446.49 = 213.03/x
  3. Step 3: Cross multiply
    323.52x = 446.49 × 213.03
  4. Step 4: Simplify right side
    323.52x = 95,115.76
  5. Step 5: Solve for x
    x = 95,115.76/323.52
  6. Step 6: Final answer
    x = 294.00

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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.