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Finding the Fourth Proportional to 496.49, 685.14 and 299.97

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Solution

The fourth proportional to 496.49, 685.14 and 299.97 is: 413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.49 : 685.14 = 299.97 : x
  2. Step 2: Convert to fraction form
    496.49/685.14 = 299.97/x
  3. Step 3: Cross multiply
    496.49x = 685.14 × 299.97
  4. Step 4: Simplify right side
    496.49x = 205,519.73
  5. Step 5: Solve for x
    x = 205,519.73/496.49
  6. Step 6: Final answer
    x = 413.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.