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Finding the Fourth Proportional to 447.06, 616.47 and 299.89

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Solution

The fourth proportional to 447.06, 616.47 and 299.89 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.06 : 616.47 = 299.89 : x
  2. Step 2: Convert to fraction form
    447.06/616.47 = 299.89/x
  3. Step 3: Cross multiply
    447.06x = 616.47 × 299.89
  4. Step 4: Simplify right side
    447.06x = 184,873.19
  5. Step 5: Solve for x
    x = 184,873.19/447.06
  6. Step 6: Final answer
    x = 413.53

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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.