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Finding the Fourth Proportional to 275.12, 413.40 and 270.80

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Solution

The fourth proportional to 275.12, 413.40 and 270.80 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 413.40 = 270.80 : x
  2. Step 2: Convert to fraction form
    275.12/413.40 = 270.80/x
  3. Step 3: Cross multiply
    275.12x = 413.40 × 270.80
  4. Step 4: Simplify right side
    275.12x = 111,948.72
  5. Step 5: Solve for x
    x = 111,948.72/275.12
  6. Step 6: Final answer
    x = 406.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.