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Finding the Fourth Proportional to 857.82, 1,286.68 and 309.86

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Solution

The fourth proportional to 857.82, 1,286.68 and 309.86 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.82 : 1,286.68 = 309.86 : x
  2. Step 2: Convert to fraction form
    857.82/1,286.68 = 309.86/x
  3. Step 3: Cross multiply
    857.82x = 1,286.68 × 309.86
  4. Step 4: Simplify right side
    857.82x = 398,690.66
  5. Step 5: Solve for x
    x = 398,690.66/857.82
  6. Step 6: Final answer
    x = 464.77

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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.