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Finding the Fourth Proportional to 275.95, 413.40 and 221.23

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Solution

The fourth proportional to 275.95, 413.40 and 221.23 is: 331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.95 : 413.40 = 221.23 : x
  2. Step 2: Convert to fraction form
    275.95/413.40 = 221.23/x
  3. Step 3: Cross multiply
    275.95x = 413.40 × 221.23
  4. Step 4: Simplify right side
    275.95x = 91,454.62
  5. Step 5: Solve for x
    x = 91,454.62/275.95
  6. Step 6: Final answer
    x = 331.42

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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.