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Finding the Fourth Proportional to 447.74, 671.42 and 173.68

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Solution

The fourth proportional to 447.74, 671.42 and 173.68 is: 260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 671.42 = 173.68 : x
  2. Step 2: Convert to fraction form
    447.74/671.42 = 173.68/x
  3. Step 3: Cross multiply
    447.74x = 671.42 × 173.68
  4. Step 4: Simplify right side
    447.74x = 116,610.98
  5. Step 5: Solve for x
    x = 116,610.98/447.74
  6. Step 6: Final answer
    x = 260.44

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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.