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Finding the Fourth Proportional to 413.90, 620.84 and 170.36

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Solution

The fourth proportional to 413.90, 620.84 and 170.36 is: 255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 620.84 = 170.36 : x
  2. Step 2: Convert to fraction form
    413.90/620.84 = 170.36/x
  3. Step 3: Cross multiply
    413.90x = 620.84 × 170.36
  4. Step 4: Simplify right side
    413.90x = 105,766.30
  5. Step 5: Solve for x
    x = 105,766.30/413.90
  6. Step 6: Final answer
    x = 255.54

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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.