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Finding the Fourth Proportional to 447.24, 670.96 and 190.76

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Solution

The fourth proportional to 447.24, 670.96 and 190.76 is: 286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.24 : 670.96 = 190.76 : x
  2. Step 2: Convert to fraction form
    447.24/670.96 = 190.76/x
  3. Step 3: Cross multiply
    447.24x = 670.96 × 190.76
  4. Step 4: Simplify right side
    447.24x = 127,992.33
  5. Step 5: Solve for x
    x = 127,992.33/447.24
  6. Step 6: Final answer
    x = 286.18

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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.