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Finding the Fourth Proportional to 496.14, 684.75 and 299.68

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Solution

The fourth proportional to 496.14, 684.75 and 299.68 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 684.75 = 299.68 : x
  2. Step 2: Convert to fraction form
    496.14/684.75 = 299.68/x
  3. Step 3: Cross multiply
    496.14x = 684.75 × 299.68
  4. Step 4: Simplify right side
    496.14x = 205,200.96
  5. Step 5: Solve for x
    x = 205,200.96/496.14
  6. Step 6: Final answer
    x = 413.60

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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.