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Finding the Fourth Proportional to 447.97, 617.82 and 342.86

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Solution

The fourth proportional to 447.97, 617.82 and 342.86 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 617.82 = 342.86 : x
  2. Step 2: Convert to fraction form
    447.97/617.82 = 342.86/x
  3. Step 3: Cross multiply
    447.97x = 617.82 × 342.86
  4. Step 4: Simplify right side
    447.97x = 211,825.77
  5. Step 5: Solve for x
    x = 211,825.77/447.97
  6. Step 6: Final answer
    x = 472.86

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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.