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Finding the Fourth Proportional to 413.95, 571.22 and 239.26

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Solution

The fourth proportional to 413.95, 571.22 and 239.26 is: 330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.95 : 571.22 = 239.26 : x
  2. Step 2: Convert to fraction form
    413.95/571.22 = 239.26/x
  3. Step 3: Cross multiply
    413.95x = 571.22 × 239.26
  4. Step 4: Simplify right side
    413.95x = 136,668.90
  5. Step 5: Solve for x
    x = 136,668.90/413.95
  6. Step 6: Final answer
    x = 330.16

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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.