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Finding the Fourth Proportional to 276.35, 413.80 and 212.27

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Solution

The fourth proportional to 276.35, 413.80 and 212.27 is: 317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.35 : 413.80 = 212.27 : x
  2. Step 2: Convert to fraction form
    276.35/413.80 = 212.27/x
  3. Step 3: Cross multiply
    276.35x = 413.80 × 212.27
  4. Step 4: Simplify right side
    276.35x = 87,837.33
  5. Step 5: Solve for x
    x = 87,837.33/276.35
  6. Step 6: Final answer
    x = 317.85

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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.