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Finding the Fourth Proportional to 849.57, 1,274.34 and 272.45

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Solution

The fourth proportional to 849.57, 1,274.34 and 272.45 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.57 : 1,274.34 = 272.45 : x
  2. Step 2: Convert to fraction form
    849.57/1,274.34 = 272.45/x
  3. Step 3: Cross multiply
    849.57x = 1,274.34 × 272.45
  4. Step 4: Simplify right side
    849.57x = 347,187.56
  5. Step 5: Solve for x
    x = 347,187.56/849.57
  6. Step 6: Final answer
    x = 408.66

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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.