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Finding the Fourth Proportional to 276.46, 414.83 and 250.83

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Solution

The fourth proportional to 276.46, 414.83 and 250.83 is: 376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 414.83 = 250.83 : x
  2. Step 2: Convert to fraction form
    276.46/414.83 = 250.83/x
  3. Step 3: Cross multiply
    276.46x = 414.83 × 250.83
  4. Step 4: Simplify right side
    276.46x = 104,052.44
  5. Step 5: Solve for x
    x = 104,052.44/276.46
  6. Step 6: Final answer
    x = 376.38

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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.