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Finding the Fourth Proportional to 413.84, 571.07 and 239.24

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Solution

The fourth proportional to 413.84, 571.07 and 239.24 is: 330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 571.07 = 239.24 : x
  2. Step 2: Convert to fraction form
    413.84/571.07 = 239.24/x
  3. Step 3: Cross multiply
    413.84x = 571.07 × 239.24
  4. Step 4: Simplify right side
    413.84x = 136,620.53
  5. Step 5: Solve for x
    x = 136,620.53/413.84
  6. Step 6: Final answer
    x = 330.13

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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.