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Finding the Fourth Proportional to 447.59, 616.69 and 335.09

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Solution

The fourth proportional to 447.59, 616.69 and 335.09 is: 461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.59 : 616.69 = 335.09 : x
  2. Step 2: Convert to fraction form
    447.59/616.69 = 335.09/x
  3. Step 3: Cross multiply
    447.59x = 616.69 × 335.09
  4. Step 4: Simplify right side
    447.59x = 206,646.65
  5. Step 5: Solve for x
    x = 206,646.65/447.59
  6. Step 6: Final answer
    x = 461.69

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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.