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Finding the Fourth Proportional to 286.80, 427.56 and 273.84

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Solution

The fourth proportional to 286.80, 427.56 and 273.84 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 427.56 = 273.84 : x
  2. Step 2: Convert to fraction form
    286.80/427.56 = 273.84/x
  3. Step 3: Cross multiply
    286.80x = 427.56 × 273.84
  4. Step 4: Simplify right side
    286.80x = 117,083.03
  5. Step 5: Solve for x
    x = 117,083.03/286.80
  6. Step 6: Final answer
    x = 408.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.