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Finding the Fourth Proportional to 275.34, 413.19 and 263.58

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Solution

The fourth proportional to 275.34, 413.19 and 263.58 is: 395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 413.19 = 263.58 : x
  2. Step 2: Convert to fraction form
    275.34/413.19 = 263.58/x
  3. Step 3: Cross multiply
    275.34x = 413.19 × 263.58
  4. Step 4: Simplify right side
    275.34x = 108,908.62
  5. Step 5: Solve for x
    x = 108,908.62/275.34
  6. Step 6: Final answer
    x = 395.54

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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.