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Finding the Fourth Proportional to 276.64, 413.45 and 254.75

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Solution

The fourth proportional to 276.64, 413.45 and 254.75 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.64 : 413.45 = 254.75 : x
  2. Step 2: Convert to fraction form
    276.64/413.45 = 254.75/x
  3. Step 3: Cross multiply
    276.64x = 413.45 × 254.75
  4. Step 4: Simplify right side
    276.64x = 105,324.96
  5. Step 5: Solve for x
    x = 105,324.96/276.64
  6. Step 6: Final answer
    x = 380.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.