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Finding the Fourth Proportional to 447.05, 616.96 and 281.37

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Solution

The fourth proportional to 447.05, 616.96 and 281.37 is: 388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.05 : 616.96 = 281.37 : x
  2. Step 2: Convert to fraction form
    447.05/616.96 = 281.37/x
  3. Step 3: Cross multiply
    447.05x = 616.96 × 281.37
  4. Step 4: Simplify right side
    447.05x = 173,596.70
  5. Step 5: Solve for x
    x = 173,596.70/447.05
  6. Step 6: Final answer
    x = 388.31

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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.