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Finding the Fourth Proportional to 496.29, 684.89 and 299.69

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Solution

The fourth proportional to 496.29, 684.89 and 299.69 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.29 : 684.89 = 299.69 : x
  2. Step 2: Convert to fraction form
    496.29/684.89 = 299.69/x
  3. Step 3: Cross multiply
    496.29x = 684.89 × 299.69
  4. Step 4: Simplify right side
    496.29x = 205,254.68
  5. Step 5: Solve for x
    x = 205,254.68/496.29
  6. Step 6: Final answer
    x = 413.58

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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.