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Finding the Fourth Proportional to 413.43, 620.16 and 169.80

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Solution

The fourth proportional to 413.43, 620.16 and 169.80 is: 254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 620.16 = 169.80 : x
  2. Step 2: Convert to fraction form
    413.43/620.16 = 169.80/x
  3. Step 3: Cross multiply
    413.43x = 620.16 × 169.80
  4. Step 4: Simplify right side
    413.43x = 105,303.17
  5. Step 5: Solve for x
    x = 105,303.17/413.43
  6. Step 6: Final answer
    x = 254.71

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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.