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Finding the Fourth Proportional to 857.64, 1,286.16 and 280.38

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Solution

The fourth proportional to 857.64, 1,286.16 and 280.38 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.64 : 1,286.16 = 280.38 : x
  2. Step 2: Convert to fraction form
    857.64/1,286.16 = 280.38/x
  3. Step 3: Cross multiply
    857.64x = 1,286.16 × 280.38
  4. Step 4: Simplify right side
    857.64x = 360,613.54
  5. Step 5: Solve for x
    x = 360,613.54/857.64
  6. Step 6: Final answer
    x = 420.47

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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.