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Finding the Fourth Proportional to 275.36, 413.45 and 263.84

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Solution

The fourth proportional to 275.36, 413.45 and 263.84 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.36 : 413.45 = 263.84 : x
  2. Step 2: Convert to fraction form
    275.36/413.45 = 263.84/x
  3. Step 3: Cross multiply
    275.36x = 413.45 × 263.84
  4. Step 4: Simplify right side
    275.36x = 109,084.65
  5. Step 5: Solve for x
    x = 109,084.65/275.36
  6. Step 6: Final answer
    x = 396.15

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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.