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Finding the Fourth Proportional to 857.48, 1,286.17 and 363.68

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Solution

The fourth proportional to 857.48, 1,286.17 and 363.68 is: 545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.48 : 1,286.17 = 363.68 : x
  2. Step 2: Convert to fraction form
    857.48/1,286.17 = 363.68/x
  3. Step 3: Cross multiply
    857.48x = 1,286.17 × 363.68
  4. Step 4: Simplify right side
    857.48x = 467,754.31
  5. Step 5: Solve for x
    x = 467,754.31/857.48
  6. Step 6: Final answer
    x = 545.50

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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.