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Finding the Fourth Proportional to 413.74, 620.14 and 169.98

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Solution

The fourth proportional to 413.74, 620.14 and 169.98 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 620.14 = 169.98 : x
  2. Step 2: Convert to fraction form
    413.74/620.14 = 169.98/x
  3. Step 3: Cross multiply
    413.74x = 620.14 × 169.98
  4. Step 4: Simplify right side
    413.74x = 105,411.40
  5. Step 5: Solve for x
    x = 105,411.40/413.74
  6. Step 6: Final answer
    x = 254.78

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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.