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Finding the Fourth Proportional to 323.97, 447.08 and 207.60

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Solution

The fourth proportional to 323.97, 447.08 and 207.60 is: 286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.97 : 447.08 = 207.60 : x
  2. Step 2: Convert to fraction form
    323.97/447.08 = 207.60/x
  3. Step 3: Cross multiply
    323.97x = 447.08 × 207.60
  4. Step 4: Simplify right side
    323.97x = 92,813.81
  5. Step 5: Solve for x
    x = 92,813.81/323.97
  6. Step 6: Final answer
    x = 286.49

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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.