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Finding the Fourth Proportional to 857.76, 1,286.38 and 241.42

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Solution

The fourth proportional to 857.76, 1,286.38 and 241.42 is: 362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,286.38 = 241.42 : x
  2. Step 2: Convert to fraction form
    857.76/1,286.38 = 241.42/x
  3. Step 3: Cross multiply
    857.76x = 1,286.38 × 241.42
  4. Step 4: Simplify right side
    857.76x = 310,557.86
  5. Step 5: Solve for x
    x = 310,557.86/857.76
  6. Step 6: Final answer
    x = 362.06

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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.