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Finding the Fourth Proportional to 276.11, 413.75 and 246.77

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Solution

The fourth proportional to 276.11, 413.75 and 246.77 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.11 : 413.75 = 246.77 : x
  2. Step 2: Convert to fraction form
    276.11/413.75 = 246.77/x
  3. Step 3: Cross multiply
    276.11x = 413.75 × 246.77
  4. Step 4: Simplify right side
    276.11x = 102,097.78
  5. Step 5: Solve for x
    x = 102,097.78/276.11
  6. Step 6: Final answer
    x = 369.78

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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.