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Finding the Fourth Proportional to 482.20, 665.52 and 371.48

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Solution

The fourth proportional to 482.20, 665.52 and 371.48 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.20 : 665.52 = 371.48 : x
  2. Step 2: Convert to fraction form
    482.20/665.52 = 371.48/x
  3. Step 3: Cross multiply
    482.20x = 665.52 × 371.48
  4. Step 4: Simplify right side
    482.20x = 247,227.37
  5. Step 5: Solve for x
    x = 247,227.37/482.20
  6. Step 6: Final answer
    x = 512.71

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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.