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Finding the Fourth Proportional to 413.97, 571.23 and 239.31

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Solution

The fourth proportional to 413.97, 571.23 and 239.31 is: 330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 571.23 = 239.31 : x
  2. Step 2: Convert to fraction form
    413.97/571.23 = 239.31/x
  3. Step 3: Cross multiply
    413.97x = 571.23 × 239.31
  4. Step 4: Simplify right side
    413.97x = 136,701.05
  5. Step 5: Solve for x
    x = 136,701.05/413.97
  6. Step 6: Final answer
    x = 330.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.