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Finding the Fourth Proportional to 299.79, 413.33 and 201.33

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Solution

The fourth proportional to 299.79, 413.33 and 201.33 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 413.33 = 201.33 : x
  2. Step 2: Convert to fraction form
    299.79/413.33 = 201.33/x
  3. Step 3: Cross multiply
    299.79x = 413.33 × 201.33
  4. Step 4: Simplify right side
    299.79x = 83,214.72
  5. Step 5: Solve for x
    x = 83,214.72/299.79
  6. Step 6: Final answer
    x = 277.58

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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.