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Finding the Fourth Proportional to 447.07, 617.04 and 281.17

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Solution

The fourth proportional to 447.07, 617.04 and 281.17 is: 388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.07 : 617.04 = 281.17 : x
  2. Step 2: Convert to fraction form
    447.07/617.04 = 281.17/x
  3. Step 3: Cross multiply
    447.07x = 617.04 × 281.17
  4. Step 4: Simplify right side
    447.07x = 173,493.14
  5. Step 5: Solve for x
    x = 173,493.14/447.07
  6. Step 6: Final answer
    x = 388.07

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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.