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Finding the Fourth Proportional to 496.24, 684.82 and 299.76

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Solution

The fourth proportional to 496.24, 684.82 and 299.76 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 684.82 = 299.76 : x
  2. Step 2: Convert to fraction form
    496.24/684.82 = 299.76/x
  3. Step 3: Cross multiply
    496.24x = 684.82 × 299.76
  4. Step 4: Simplify right side
    496.24x = 205,281.64
  5. Step 5: Solve for x
    x = 205,281.64/496.24
  6. Step 6: Final answer
    x = 413.67

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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.