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Finding the Fourth Proportional to 413.50, 619.77 and 169.73

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Solution

The fourth proportional to 413.50, 619.77 and 169.73 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 619.77 = 169.73 : x
  2. Step 2: Convert to fraction form
    413.50/619.77 = 169.73/x
  3. Step 3: Cross multiply
    413.50x = 619.77 × 169.73
  4. Step 4: Simplify right side
    413.50x = 105,193.56
  5. Step 5: Solve for x
    x = 105,193.56/413.50
  6. Step 6: Final answer
    x = 254.40

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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.