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Finding the Fourth Proportional to 447.65, 616.91 and 323.09

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Solution

The fourth proportional to 447.65, 616.91 and 323.09 is: 445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.65 : 616.91 = 323.09 : x
  2. Step 2: Convert to fraction form
    447.65/616.91 = 323.09/x
  3. Step 3: Cross multiply
    447.65x = 616.91 × 323.09
  4. Step 4: Simplify right side
    447.65x = 199,312.75
  5. Step 5: Solve for x
    x = 199,312.75/447.65
  6. Step 6: Final answer
    x = 445.25

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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.