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Finding the Fourth Proportional to 413.17, 619.85 and 169.70

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Solution

The fourth proportional to 413.17, 619.85 and 169.70 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.17 : 619.85 = 169.70 : x
  2. Step 2: Convert to fraction form
    413.17/619.85 = 169.70/x
  3. Step 3: Cross multiply
    413.17x = 619.85 × 169.70
  4. Step 4: Simplify right side
    413.17x = 105,185.87
  5. Step 5: Solve for x
    x = 105,185.87/413.17
  6. Step 6: Final answer
    x = 254.58

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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.