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Finding the Fourth Proportional to 447.23, 617.02 and 281.39

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Solution

The fourth proportional to 447.23, 617.02 and 281.39 is: 388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.23 : 617.02 = 281.39 : x
  2. Step 2: Convert to fraction form
    447.23/617.02 = 281.39/x
  3. Step 3: Cross multiply
    447.23x = 617.02 × 281.39
  4. Step 4: Simplify right side
    447.23x = 173,619.47
  5. Step 5: Solve for x
    x = 173,619.47/447.23
  6. Step 6: Final answer
    x = 388.21

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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.