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Finding the Fourth Proportional to 849.25, 1,273.95 and 272.14

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Solution

The fourth proportional to 849.25, 1,273.95 and 272.14 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.25 : 1,273.95 = 272.14 : x
  2. Step 2: Convert to fraction form
    849.25/1,273.95 = 272.14/x
  3. Step 3: Cross multiply
    849.25x = 1,273.95 × 272.14
  4. Step 4: Simplify right side
    849.25x = 346,692.75
  5. Step 5: Solve for x
    x = 346,692.75/849.25
  6. Step 6: Final answer
    x = 408.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.