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Finding the Fourth Proportional to 413.13, 619.16 and 196.28

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Solution

The fourth proportional to 413.13, 619.16 and 196.28 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 619.16 = 196.28 : x
  2. Step 2: Convert to fraction form
    413.13/619.16 = 196.28/x
  3. Step 3: Cross multiply
    413.13x = 619.16 × 196.28
  4. Step 4: Simplify right side
    413.13x = 121,524.65
  5. Step 5: Solve for x
    x = 121,524.65/413.13
  6. Step 6: Final answer
    x = 294.16

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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.