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Finding the Fourth Proportional to 447.56, 670.97 and 191.24

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Solution

The fourth proportional to 447.56, 670.97 and 191.24 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.56 : 670.97 = 191.24 : x
  2. Step 2: Convert to fraction form
    447.56/670.97 = 191.24/x
  3. Step 3: Cross multiply
    447.56x = 670.97 × 191.24
  4. Step 4: Simplify right side
    447.56x = 128,313.43
  5. Step 5: Solve for x
    x = 128,313.43/447.56
  6. Step 6: Final answer
    x = 286.70

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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.