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Finding the Fourth Proportional to 413.26, 619.84 and 105.11

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Solution

The fourth proportional to 413.26, 619.84 and 105.11 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 619.84 = 105.11 : x
  2. Step 2: Convert to fraction form
    413.26/619.84 = 105.11/x
  3. Step 3: Cross multiply
    413.26x = 619.84 × 105.11
  4. Step 4: Simplify right side
    413.26x = 65,151.38
  5. Step 5: Solve for x
    x = 65,151.38/413.26
  6. Step 6: Final answer
    x = 157.65

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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.