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Finding the Fourth Proportional to 413.84, 571.22 and 239.22

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Solution

The fourth proportional to 413.84, 571.22 and 239.22 is: 330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 571.22 = 239.22 : x
  2. Step 2: Convert to fraction form
    413.84/571.22 = 239.22/x
  3. Step 3: Cross multiply
    413.84x = 571.22 × 239.22
  4. Step 4: Simplify right side
    413.84x = 136,646.95
  5. Step 5: Solve for x
    x = 136,646.95/413.84
  6. Step 6: Final answer
    x = 330.19

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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.