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Finding the Fourth Proportional to 286.14, 395.70 and 273.24

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Solution

The fourth proportional to 286.14, 395.70 and 273.24 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 395.70 = 273.24 : x
  2. Step 2: Convert to fraction form
    286.14/395.70 = 273.24/x
  3. Step 3: Cross multiply
    286.14x = 395.70 × 273.24
  4. Step 4: Simplify right side
    286.14x = 108,121.07
  5. Step 5: Solve for x
    x = 108,121.07/286.14
  6. Step 6: Final answer
    x = 377.86

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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.