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Finding the Fourth Proportional to 447.68, 617.96 and 272.96

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Solution

The fourth proportional to 447.68, 617.96 and 272.96 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.68 : 617.96 = 272.96 : x
  2. Step 2: Convert to fraction form
    447.68/617.96 = 272.96/x
  3. Step 3: Cross multiply
    447.68x = 617.96 × 272.96
  4. Step 4: Simplify right side
    447.68x = 168,678.36
  5. Step 5: Solve for x
    x = 168,678.36/447.68
  6. Step 6: Final answer
    x = 376.78

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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.