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Finding the Fourth Proportional to 496.53, 684.99 and 299.93

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Solution

The fourth proportional to 496.53, 684.99 and 299.93 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 684.99 = 299.93 : x
  2. Step 2: Convert to fraction form
    496.53/684.99 = 299.93/x
  3. Step 3: Cross multiply
    496.53x = 684.99 × 299.93
  4. Step 4: Simplify right side
    496.53x = 205,449.05
  5. Step 5: Solve for x
    x = 205,449.05/496.53
  6. Step 6: Final answer
    x = 413.77

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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.