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Finding the Fourth Proportional to 413.82, 620.82 and 170.34

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Solution

The fourth proportional to 413.82, 620.82 and 170.34 is: 255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.82 = 170.34 : x
  2. Step 2: Convert to fraction form
    413.82/620.82 = 170.34/x
  3. Step 3: Cross multiply
    413.82x = 620.82 × 170.34
  4. Step 4: Simplify right side
    413.82x = 105,750.48
  5. Step 5: Solve for x
    x = 105,750.48/413.82
  6. Step 6: Final answer
    x = 255.55

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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.