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Finding the Fourth Proportional to 857.39, 1,286.46 and 363.92

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Solution

The fourth proportional to 857.39, 1,286.46 and 363.92 is: 546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.39 : 1,286.46 = 363.92 : x
  2. Step 2: Convert to fraction form
    857.39/1,286.46 = 363.92/x
  3. Step 3: Cross multiply
    857.39x = 1,286.46 × 363.92
  4. Step 4: Simplify right side
    857.39x = 468,162.09
  5. Step 5: Solve for x
    x = 468,162.09/857.39
  6. Step 6: Final answer
    x = 546.03

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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.