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Finding the Fourth Proportional to 495.89, 684.36 and 299.47

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Solution

The fourth proportional to 495.89, 684.36 and 299.47 is: 413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.89 : 684.36 = 299.47 : x
  2. Step 2: Convert to fraction form
    495.89/684.36 = 299.47/x
  3. Step 3: Cross multiply
    495.89x = 684.36 × 299.47
  4. Step 4: Simplify right side
    495.89x = 204,945.29
  5. Step 5: Solve for x
    x = 204,945.29/495.89
  6. Step 6: Final answer
    x = 413.29

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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.