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Finding the Fourth Proportional to 299.08, 413.27 and 286.93

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Solution

The fourth proportional to 299.08, 413.27 and 286.93 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 413.27 = 286.93 : x
  2. Step 2: Convert to fraction form
    299.08/413.27 = 286.93/x
  3. Step 3: Cross multiply
    299.08x = 413.27 × 286.93
  4. Step 4: Simplify right side
    299.08x = 118,578.13
  5. Step 5: Solve for x
    x = 118,578.13/299.08
  6. Step 6: Final answer
    x = 396.48

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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.