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Finding the Fourth Proportional to 275.43, 413.30 and 261.36

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Solution

The fourth proportional to 275.43, 413.30 and 261.36 is: 392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 413.30 = 261.36 : x
  2. Step 2: Convert to fraction form
    275.43/413.30 = 261.36/x
  3. Step 3: Cross multiply
    275.43x = 413.30 × 261.36
  4. Step 4: Simplify right side
    275.43x = 108,020.74
  5. Step 5: Solve for x
    x = 108,020.74/275.43
  6. Step 6: Final answer
    x = 392.18

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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.