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Finding the Fourth Proportional to 471.44, 649.27 and 379.91

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Solution

The fourth proportional to 471.44, 649.27 and 379.91 is: 523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 649.27 = 379.91 : x
  2. Step 2: Convert to fraction form
    471.44/649.27 = 379.91/x
  3. Step 3: Cross multiply
    471.44x = 649.27 × 379.91
  4. Step 4: Simplify right side
    471.44x = 246,664.17
  5. Step 5: Solve for x
    x = 246,664.17/471.44
  6. Step 6: Final answer
    x = 523.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.