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Finding the Fourth Proportional to 323.84, 447.08 and 213.50

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Solution

The fourth proportional to 323.84, 447.08 and 213.50 is: 294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 447.08 = 213.50 : x
  2. Step 2: Convert to fraction form
    323.84/447.08 = 213.50/x
  3. Step 3: Cross multiply
    323.84x = 447.08 × 213.50
  4. Step 4: Simplify right side
    323.84x = 95,451.58
  5. Step 5: Solve for x
    x = 95,451.58/323.84
  6. Step 6: Final answer
    x = 294.75

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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.