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Finding the Fourth Proportional to 857.28, 1,286.12 and 280.16

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Solution

The fourth proportional to 857.28, 1,286.12 and 280.16 is: 420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.28 : 1,286.12 = 280.16 : x
  2. Step 2: Convert to fraction form
    857.28/1,286.12 = 280.16/x
  3. Step 3: Cross multiply
    857.28x = 1,286.12 × 280.16
  4. Step 4: Simplify right side
    857.28x = 360,319.38
  5. Step 5: Solve for x
    x = 360,319.38/857.28
  6. Step 6: Final answer
    x = 420.31

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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.