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Finding the Fourth Proportional to 857.24, 1,286.04 and 280.52

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Solution

The fourth proportional to 857.24, 1,286.04 and 280.52 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.24 : 1,286.04 = 280.52 : x
  2. Step 2: Convert to fraction form
    857.24/1,286.04 = 280.52/x
  3. Step 3: Cross multiply
    857.24x = 1,286.04 × 280.52
  4. Step 4: Simplify right side
    857.24x = 360,759.94
  5. Step 5: Solve for x
    x = 360,759.94/857.24
  6. Step 6: Final answer
    x = 420.84

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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.