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Finding the Fourth Proportional to 276.68, 413.92 and 231.10

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Solution

The fourth proportional to 276.68, 413.92 and 231.10 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 413.92 = 231.10 : x
  2. Step 2: Convert to fraction form
    276.68/413.92 = 231.10/x
  3. Step 3: Cross multiply
    276.68x = 413.92 × 231.10
  4. Step 4: Simplify right side
    276.68x = 95,656.91
  5. Step 5: Solve for x
    x = 95,656.91/276.68
  6. Step 6: Final answer
    x = 345.73

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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.