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Finding the Fourth Proportional to 413.26, 619.66 and 218.06

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Solution

The fourth proportional to 413.26, 619.66 and 218.06 is: 326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 619.66 = 218.06 : x
  2. Step 2: Convert to fraction form
    413.26/619.66 = 218.06/x
  3. Step 3: Cross multiply
    413.26x = 619.66 × 218.06
  4. Step 4: Simplify right side
    413.26x = 135,123.06
  5. Step 5: Solve for x
    x = 135,123.06/413.26
  6. Step 6: Final answer
    x = 326.97

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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.