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Finding the Fourth Proportional to 447.66, 671.68 and 411.78

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Solution

The fourth proportional to 447.66, 671.68 and 411.78 is: 617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 671.68 = 411.78 : x
  2. Step 2: Convert to fraction form
    447.66/671.68 = 411.78/x
  3. Step 3: Cross multiply
    447.66x = 671.68 × 411.78
  4. Step 4: Simplify right side
    447.66x = 276,584.39
  5. Step 5: Solve for x
    x = 276,584.39/447.66
  6. Step 6: Final answer
    x = 617.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.