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Finding the Fourth Proportional to 857.67, 1,286.50 and 241.30

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Solution

The fourth proportional to 857.67, 1,286.50 and 241.30 is: 361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,286.50 = 241.30 : x
  2. Step 2: Convert to fraction form
    857.67/1,286.50 = 241.30/x
  3. Step 3: Cross multiply
    857.67x = 1,286.50 × 241.30
  4. Step 4: Simplify right side
    857.67x = 310,426.67
  5. Step 5: Solve for x
    x = 310,426.67/857.67
  6. Step 6: Final answer
    x = 361.94

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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.