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Finding the Fourth Proportional to 323.87, 447.17 and 206.01

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Solution

The fourth proportional to 323.87, 447.17 and 206.01 is: 284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.87 : 447.17 = 206.01 : x
  2. Step 2: Convert to fraction form
    323.87/447.17 = 206.01/x
  3. Step 3: Cross multiply
    323.87x = 447.17 × 206.01
  4. Step 4: Simplify right side
    323.87x = 92,120.46
  5. Step 5: Solve for x
    x = 92,120.46/323.87
  6. Step 6: Final answer
    x = 284.44

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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.