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Finding the Fourth Proportional to 286.79, 395.49 and 207.97

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Solution

The fourth proportional to 286.79, 395.49 and 207.97 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.79 : 395.49 = 207.97 : x
  2. Step 2: Convert to fraction form
    286.79/395.49 = 207.97/x
  3. Step 3: Cross multiply
    286.79x = 395.49 × 207.97
  4. Step 4: Simplify right side
    286.79x = 82,250.06
  5. Step 5: Solve for x
    x = 82,250.06/286.79
  6. Step 6: Final answer
    x = 286.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.