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Finding the Fourth Proportional to 496.28, 684.65 and 299.67

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Solution

The fourth proportional to 496.28, 684.65 and 299.67 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.28 : 684.65 = 299.67 : x
  2. Step 2: Convert to fraction form
    496.28/684.65 = 299.67/x
  3. Step 3: Cross multiply
    496.28x = 684.65 × 299.67
  4. Step 4: Simplify right side
    496.28x = 205,167.57
  5. Step 5: Solve for x
    x = 205,167.57/496.28
  6. Step 6: Final answer
    x = 413.42

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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.