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Finding the Fourth Proportional to 323.94, 447.01 and 213.24

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Solution

The fourth proportional to 323.94, 447.01 and 213.24 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 447.01 = 213.24 : x
  2. Step 2: Convert to fraction form
    323.94/447.01 = 213.24/x
  3. Step 3: Cross multiply
    323.94x = 447.01 × 213.24
  4. Step 4: Simplify right side
    323.94x = 95,320.41
  5. Step 5: Solve for x
    x = 95,320.41/323.94
  6. Step 6: Final answer
    x = 294.25

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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.