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Finding the Fourth Proportional to 447.48, 674.10 and 441.81

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Solution

The fourth proportional to 447.48, 674.10 and 441.81 is: 665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 674.10 = 441.81 : x
  2. Step 2: Convert to fraction form
    447.48/674.10 = 441.81/x
  3. Step 3: Cross multiply
    447.48x = 674.10 × 441.81
  4. Step 4: Simplify right side
    447.48x = 297,824.12
  5. Step 5: Solve for x
    x = 297,824.12/447.48
  6. Step 6: Final answer
    x = 665.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.