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Finding the Fourth Proportional to 853.23, 1,279.57 and 275.97

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Solution

The fourth proportional to 853.23, 1,279.57 and 275.97 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.23 : 1,279.57 = 275.97 : x
  2. Step 2: Convert to fraction form
    853.23/1,279.57 = 275.97/x
  3. Step 3: Cross multiply
    853.23x = 1,279.57 × 275.97
  4. Step 4: Simplify right side
    853.23x = 353,122.93
  5. Step 5: Solve for x
    x = 353,122.93/853.23
  6. Step 6: Final answer
    x = 413.87

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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.