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Finding the Fourth Proportional to 276.46, 413.87 and 173.41

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Solution

The fourth proportional to 276.46, 413.87 and 173.41 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 413.87 = 173.41 : x
  2. Step 2: Convert to fraction form
    276.46/413.87 = 173.41/x
  3. Step 3: Cross multiply
    276.46x = 413.87 × 173.41
  4. Step 4: Simplify right side
    276.46x = 71,769.20
  5. Step 5: Solve for x
    x = 71,769.20/276.46
  6. Step 6: Final answer
    x = 259.60

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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.