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Finding the Fourth Proportional to 413.97, 571.25 and 239.33

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Solution

The fourth proportional to 413.97, 571.25 and 239.33 is: 330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 571.25 = 239.33 : x
  2. Step 2: Convert to fraction form
    413.97/571.25 = 239.33/x
  3. Step 3: Cross multiply
    413.97x = 571.25 × 239.33
  4. Step 4: Simplify right side
    413.97x = 136,715.54
  5. Step 5: Solve for x
    x = 136,715.54/413.97
  6. Step 6: Final answer
    x = 330.25

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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.