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Finding the Fourth Proportional to 495.97, 684.33 and 299.44

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Solution

The fourth proportional to 495.97, 684.33 and 299.44 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.97 : 684.33 = 299.44 : x
  2. Step 2: Convert to fraction form
    495.97/684.33 = 299.44/x
  3. Step 3: Cross multiply
    495.97x = 684.33 × 299.44
  4. Step 4: Simplify right side
    495.97x = 204,915.78
  5. Step 5: Solve for x
    x = 204,915.78/495.97
  6. Step 6: Final answer
    x = 413.17

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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.