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Finding the Fourth Proportional to 849.43, 1,274.19 and 272.17

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Solution

The fourth proportional to 849.43, 1,274.19 and 272.17 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.43 : 1,274.19 = 272.17 : x
  2. Step 2: Convert to fraction form
    849.43/1,274.19 = 272.17/x
  3. Step 3: Cross multiply
    849.43x = 1,274.19 × 272.17
  4. Step 4: Simplify right side
    849.43x = 346,796.29
  5. Step 5: Solve for x
    x = 346,796.29/849.43
  6. Step 6: Final answer
    x = 408.27

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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.