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Finding the Fourth Proportional to 413.99, 620.17 and 330.71

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Solution

The fourth proportional to 413.99, 620.17 and 330.71 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.99 : 620.17 = 330.71 : x
  2. Step 2: Convert to fraction form
    413.99/620.17 = 330.71/x
  3. Step 3: Cross multiply
    413.99x = 620.17 × 330.71
  4. Step 4: Simplify right side
    413.99x = 205,097.84
  5. Step 5: Solve for x
    x = 205,097.84/413.99
  6. Step 6: Final answer
    x = 495.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.