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Finding the Fourth Proportional to 413.82, 620.71 and 166.96

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Solution

The fourth proportional to 413.82, 620.71 and 166.96 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.71 = 166.96 : x
  2. Step 2: Convert to fraction form
    413.82/620.71 = 166.96/x
  3. Step 3: Cross multiply
    413.82x = 620.71 × 166.96
  4. Step 4: Simplify right side
    413.82x = 103,634.10
  5. Step 5: Solve for x
    x = 103,634.10/413.82
  6. Step 6: Final answer
    x = 250.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.