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Finding the Fourth Proportional to 857.52, 1,286.42 and 309.74

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Solution

The fourth proportional to 857.52, 1,286.42 and 309.74 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.52 : 1,286.42 = 309.74 : x
  2. Step 2: Convert to fraction form
    857.52/1,286.42 = 309.74/x
  3. Step 3: Cross multiply
    857.52x = 1,286.42 × 309.74
  4. Step 4: Simplify right side
    857.52x = 398,447.75
  5. Step 5: Solve for x
    x = 398,447.75/857.52
  6. Step 6: Final answer
    x = 464.65

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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.