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Finding the Fourth Proportional to 869, 1,302.42 and 381.56

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Solution

The fourth proportional to 869, 1,302.42 and 381.56 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,302.42 = 381.56 : x
  2. Step 2: Convert to fraction form
    869/1,302.42 = 381.56/x
  3. Step 3: Cross multiply
    869x = 1,302.42 × 381.56
  4. Step 4: Simplify right side
    869x = 496,951.38
  5. Step 5: Solve for x
    x = 496,951.38/869
  6. Step 6: Final answer
    x = 571.87

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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.