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Finding the Fourth Proportional to 299.07, 413.37 and 263.85

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Solution

The fourth proportional to 299.07, 413.37 and 263.85 is: 364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 413.37 = 263.85 : x
  2. Step 2: Convert to fraction form
    299.07/413.37 = 263.85/x
  3. Step 3: Cross multiply
    299.07x = 413.37 × 263.85
  4. Step 4: Simplify right side
    299.07x = 109,067.67
  5. Step 5: Solve for x
    x = 109,067.67/299.07
  6. Step 6: Final answer
    x = 364.69

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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.