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Finding the Fourth Proportional to 447.20, 670.62 and 173.22

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Solution

The fourth proportional to 447.20, 670.62 and 173.22 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.20 : 670.62 = 173.22 : x
  2. Step 2: Convert to fraction form
    447.20/670.62 = 173.22/x
  3. Step 3: Cross multiply
    447.20x = 670.62 × 173.22
  4. Step 4: Simplify right side
    447.20x = 116,164.80
  5. Step 5: Solve for x
    x = 116,164.80/447.20
  6. Step 6: Final answer
    x = 259.76

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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.