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Finding the Fourth Proportional to 413.96, 571.34 and 239.41

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Solution

The fourth proportional to 413.96, 571.34 and 239.41 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.96 : 571.34 = 239.41 : x
  2. Step 2: Convert to fraction form
    413.96/571.34 = 239.41/x
  3. Step 3: Cross multiply
    413.96x = 571.34 × 239.41
  4. Step 4: Simplify right side
    413.96x = 136,780.46
  5. Step 5: Solve for x
    x = 136,780.46/413.96
  6. Step 6: Final answer
    x = 330.42

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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.