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Finding the Fourth Proportional to 413.57, 619.88 and 169.96

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Solution

The fourth proportional to 413.57, 619.88 and 169.96 is: 254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.57 : 619.88 = 169.96 : x
  2. Step 2: Convert to fraction form
    413.57/619.88 = 169.96/x
  3. Step 3: Cross multiply
    413.57x = 619.88 × 169.96
  4. Step 4: Simplify right side
    413.57x = 105,354.80
  5. Step 5: Solve for x
    x = 105,354.80/413.57
  6. Step 6: Final answer
    x = 254.74

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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.