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Finding the Fourth Proportional to 276.95, 413.65 and 251.44

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Solution

The fourth proportional to 276.95, 413.65 and 251.44 is: 375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.95 : 413.65 = 251.44 : x
  2. Step 2: Convert to fraction form
    276.95/413.65 = 251.44/x
  3. Step 3: Cross multiply
    276.95x = 413.65 × 251.44
  4. Step 4: Simplify right side
    276.95x = 104,007.44
  5. Step 5: Solve for x
    x = 104,007.44/276.95
  6. Step 6: Final answer
    x = 375.54

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