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Finding the Fourth Proportional to 413.25, 619.39 and 169.51

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Solution

The fourth proportional to 413.25, 619.39 and 169.51 is: 254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 619.39 = 169.51 : x
  2. Step 2: Convert to fraction form
    413.25/619.39 = 169.51/x
  3. Step 3: Cross multiply
    413.25x = 619.39 × 169.51
  4. Step 4: Simplify right side
    413.25x = 104,992.80
  5. Step 5: Solve for x
    x = 104,992.80/413.25
  6. Step 6: Final answer
    x = 254.07

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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.