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Finding the Fourth Proportional to 447.69, 671.13 and 265.44

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Solution

The fourth proportional to 447.69, 671.13 and 265.44 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.69 : 671.13 = 265.44 : x
  2. Step 2: Convert to fraction form
    447.69/671.13 = 265.44/x
  3. Step 3: Cross multiply
    447.69x = 671.13 × 265.44
  4. Step 4: Simplify right side
    447.69x = 178,144.75
  5. Step 5: Solve for x
    x = 178,144.75/447.69
  6. Step 6: Final answer
    x = 397.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.