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Finding the Fourth Proportional to 447.17, 616.68 and 299.99

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Solution

The fourth proportional to 447.17, 616.68 and 299.99 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.17 : 616.68 = 299.99 : x
  2. Step 2: Convert to fraction form
    447.17/616.68 = 299.99/x
  3. Step 3: Cross multiply
    447.17x = 616.68 × 299.99
  4. Step 4: Simplify right side
    447.17x = 184,997.83
  5. Step 5: Solve for x
    x = 184,997.83/447.17
  6. Step 6: Final answer
    x = 413.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.