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Finding the Fourth Proportional to 461.72, 636.82 and 363.28

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Solution

The fourth proportional to 461.72, 636.82 and 363.28 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 636.82 = 363.28 : x
  2. Step 2: Convert to fraction form
    461.72/636.82 = 363.28/x
  3. Step 3: Cross multiply
    461.72x = 636.82 × 363.28
  4. Step 4: Simplify right side
    461.72x = 231,343.97
  5. Step 5: Solve for x
    x = 231,343.97/461.72
  6. Step 6: Final answer
    x = 501.05

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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.