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Finding the Fourth Proportional to 413.29, 620.09 and 194.02

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Solution

The fourth proportional to 413.29, 620.09 and 194.02 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 620.09 = 194.02 : x
  2. Step 2: Convert to fraction form
    413.29/620.09 = 194.02/x
  3. Step 3: Cross multiply
    413.29x = 620.09 × 194.02
  4. Step 4: Simplify right side
    413.29x = 120,309.86
  5. Step 5: Solve for x
    x = 120,309.86/413.29
  6. Step 6: Final answer
    x = 291.10

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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.