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Finding the Fourth Proportional to 496.06, 684.77 and 299.53

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Solution

The fourth proportional to 496.06, 684.77 and 299.53 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.06 : 684.77 = 299.53 : x
  2. Step 2: Convert to fraction form
    496.06/684.77 = 299.53/x
  3. Step 3: Cross multiply
    496.06x = 684.77 × 299.53
  4. Step 4: Simplify right side
    496.06x = 205,110.20
  5. Step 5: Solve for x
    x = 205,110.20/496.06
  6. Step 6: Final answer
    x = 413.48

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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.