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Finding the Fourth Proportional to 323.87, 447.01 and 213.35

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Solution

The fourth proportional to 323.87, 447.01 and 213.35 is: 294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.87 : 447.01 = 213.35 : x
  2. Step 2: Convert to fraction form
    323.87/447.01 = 213.35/x
  3. Step 3: Cross multiply
    323.87x = 447.01 × 213.35
  4. Step 4: Simplify right side
    323.87x = 95,369.58
  5. Step 5: Solve for x
    x = 95,369.58/323.87
  6. Step 6: Final answer
    x = 294.47

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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.