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Finding the Fourth Proportional to 413.26, 619.73 and 120.66

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Solution

The fourth proportional to 413.26, 619.73 and 120.66 is: 180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 619.73 = 120.66 : x
  2. Step 2: Convert to fraction form
    413.26/619.73 = 120.66/x
  3. Step 3: Cross multiply
    413.26x = 619.73 × 120.66
  4. Step 4: Simplify right side
    413.26x = 74,776.02
  5. Step 5: Solve for x
    x = 74,776.02/413.26
  6. Step 6: Final answer
    x = 180.94

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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.