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Finding the Fourth Proportional to 447.46, 670.34 and 173.41

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Solution

The fourth proportional to 447.46, 670.34 and 173.41 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.46 : 670.34 = 173.41 : x
  2. Step 2: Convert to fraction form
    447.46/670.34 = 173.41/x
  3. Step 3: Cross multiply
    447.46x = 670.34 × 173.41
  4. Step 4: Simplify right side
    447.46x = 116,242.42
  5. Step 5: Solve for x
    x = 116,242.42/447.46
  6. Step 6: Final answer
    x = 259.78

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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.