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Finding the Fourth Proportional to 276.24, 413.40 and 173.28

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Solution

The fourth proportional to 276.24, 413.40 and 173.28 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 413.40 = 173.28 : x
  2. Step 2: Convert to fraction form
    276.24/413.40 = 173.28/x
  3. Step 3: Cross multiply
    276.24x = 413.40 × 173.28
  4. Step 4: Simplify right side
    276.24x = 71,633.95
  5. Step 5: Solve for x
    x = 71,633.95/276.24
  6. Step 6: Final answer
    x = 259.32

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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.