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Finding the Fourth Proportional to 275.12, 413.62 and 218.05

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Solution

The fourth proportional to 275.12, 413.62 and 218.05 is: 327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 413.62 = 218.05 : x
  2. Step 2: Convert to fraction form
    275.12/413.62 = 218.05/x
  3. Step 3: Cross multiply
    275.12x = 413.62 × 218.05
  4. Step 4: Simplify right side
    275.12x = 90,189.84
  5. Step 5: Solve for x
    x = 90,189.84/275.12
  6. Step 6: Final answer
    x = 327.82

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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.