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Finding the Fourth Proportional to 413.28, 568.80 and 359.82

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Solution

The fourth proportional to 413.28, 568.80 and 359.82 is: 495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 568.80 = 359.82 : x
  2. Step 2: Convert to fraction form
    413.28/568.80 = 359.82/x
  3. Step 3: Cross multiply
    413.28x = 568.80 × 359.82
  4. Step 4: Simplify right side
    413.28x = 204,665.62
  5. Step 5: Solve for x
    x = 204,665.62/413.28
  6. Step 6: Final answer
    x = 495.22

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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.