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Finding the Fourth Proportional to 447.12, 616.81 and 299.81

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Solution

The fourth proportional to 447.12, 616.81 and 299.81 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 616.81 = 299.81 : x
  2. Step 2: Convert to fraction form
    447.12/616.81 = 299.81/x
  3. Step 3: Cross multiply
    447.12x = 616.81 × 299.81
  4. Step 4: Simplify right side
    447.12x = 184,925.81
  5. Step 5: Solve for x
    x = 184,925.81/447.12
  6. Step 6: Final answer
    x = 413.59

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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.