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Finding the Fourth Proportional to 496.27, 684.48 and 299.53

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Solution

The fourth proportional to 496.27, 684.48 and 299.53 is: 413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.27 : 684.48 = 299.53 : x
  2. Step 2: Convert to fraction form
    496.27/684.48 = 299.53/x
  3. Step 3: Cross multiply
    496.27x = 684.48 × 299.53
  4. Step 4: Simplify right side
    496.27x = 205,022.29
  5. Step 5: Solve for x
    x = 205,022.29/496.27
  6. Step 6: Final answer
    x = 413.13

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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.