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Finding the Fourth Proportional to 413.26, 619.40 and 193.59

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Solution

The fourth proportional to 413.26, 619.40 and 193.59 is: 290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 619.40 = 193.59 : x
  2. Step 2: Convert to fraction form
    413.26/619.40 = 193.59/x
  3. Step 3: Cross multiply
    413.26x = 619.40 × 193.59
  4. Step 4: Simplify right side
    413.26x = 119,910.13
  5. Step 5: Solve for x
    x = 119,910.13/413.26
  6. Step 6: Final answer
    x = 290.16

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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.