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Finding the Fourth Proportional to 857.49, 1,286.28 and 272.46

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Solution

The fourth proportional to 857.49, 1,286.28 and 272.46 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,286.28 = 272.46 : x
  2. Step 2: Convert to fraction form
    857.49/1,286.28 = 272.46/x
  3. Step 3: Cross multiply
    857.49x = 1,286.28 × 272.46
  4. Step 4: Simplify right side
    857.49x = 350,464.67
  5. Step 5: Solve for x
    x = 350,464.67/857.49
  6. Step 6: Final answer
    x = 408.71

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Why These Related Problems?

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