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Finding the Fourth Proportional to 866.44, 1,299.46 and 250

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Solution

The fourth proportional to 866.44, 1,299.46 and 250 is: 374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.44 : 1,299.46 = 250 : x
  2. Step 2: Convert to fraction form
    866.44/1,299.46 = 250/x
  3. Step 3: Cross multiply
    866.44x = 1,299.46 × 250
  4. Step 4: Simplify right side
    866.44x = 324,863.75
  5. Step 5: Solve for x
    x = 324,863.75/866.44
  6. Step 6: Final answer
    x = 374.94

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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.