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Finding the Fourth Proportional to 411.92, 618.18 and 275.23

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Solution

The fourth proportional to 411.92, 618.18 and 275.23 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.92 : 618.18 = 275.23 : x
  2. Step 2: Convert to fraction form
    411.92/618.18 = 275.23/x
  3. Step 3: Cross multiply
    411.92x = 618.18 × 275.23
  4. Step 4: Simplify right side
    411.92x = 170,141.68
  5. Step 5: Solve for x
    x = 170,141.68/411.92
  6. Step 6: Final answer
    x = 413.05

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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.