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Finding the Fourth Proportional to 447.36, 616.66 and 353.68

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Solution

The fourth proportional to 447.36, 616.66 and 353.68 is: 487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.36 : 616.66 = 353.68 : x
  2. Step 2: Convert to fraction form
    447.36/616.66 = 353.68/x
  3. Step 3: Cross multiply
    447.36x = 616.66 × 353.68
  4. Step 4: Simplify right side
    447.36x = 218,100.31
  5. Step 5: Solve for x
    x = 218,100.31/447.36
  6. Step 6: Final answer
    x = 487.53

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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.