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Finding the Fourth Proportional to 496.10, 684.69 and 299.63

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Solution

The fourth proportional to 496.10, 684.69 and 299.63 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.10 : 684.69 = 299.63 : x
  2. Step 2: Convert to fraction form
    496.10/684.69 = 299.63/x
  3. Step 3: Cross multiply
    496.10x = 684.69 × 299.63
  4. Step 4: Simplify right side
    496.10x = 205,154.25
  5. Step 5: Solve for x
    x = 205,154.25/496.10
  6. Step 6: Final answer
    x = 413.53

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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.