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Finding the Fourth Proportional to 331.67, 496.56 and 276.32

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Solution

The fourth proportional to 331.67, 496.56 and 276.32 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.67 : 496.56 = 276.32 : x
  2. Step 2: Convert to fraction form
    331.67/496.56 = 276.32/x
  3. Step 3: Cross multiply
    331.67x = 496.56 × 276.32
  4. Step 4: Simplify right side
    331.67x = 137,209.46
  5. Step 5: Solve for x
    x = 137,209.46/331.67
  6. Step 6: Final answer
    x = 413.69

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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.