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Finding the Fourth Proportional to 275.41, 413.05 and 80.37

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Solution

The fourth proportional to 275.41, 413.05 and 80.37 is: 120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.41 : 413.05 = 80.37 : x
  2. Step 2: Convert to fraction form
    275.41/413.05 = 80.37/x
  3. Step 3: Cross multiply
    275.41x = 413.05 × 80.37
  4. Step 4: Simplify right side
    275.41x = 33,196.83
  5. Step 5: Solve for x
    x = 33,196.83/275.41
  6. Step 6: Final answer
    x = 120.54

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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.