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Finding the Fourth Proportional to 286.64, 395.79 and 213.44

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Solution

The fourth proportional to 286.64, 395.79 and 213.44 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 395.79 = 213.44 : x
  2. Step 2: Convert to fraction form
    286.64/395.79 = 213.44/x
  3. Step 3: Cross multiply
    286.64x = 395.79 × 213.44
  4. Step 4: Simplify right side
    286.64x = 84,474.64
  5. Step 5: Solve for x
    x = 84,474.64/286.64
  6. Step 6: Final answer
    x = 294.71

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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.