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Finding the Fourth Proportional to 447.42, 616.94 and 281.43

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Solution

The fourth proportional to 447.42, 616.94 and 281.43 is: 388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 616.94 = 281.43 : x
  2. Step 2: Convert to fraction form
    447.42/616.94 = 281.43/x
  3. Step 3: Cross multiply
    447.42x = 616.94 × 281.43
  4. Step 4: Simplify right side
    447.42x = 173,625.42
  5. Step 5: Solve for x
    x = 173,625.42/447.42
  6. Step 6: Final answer
    x = 388.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.