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Finding the Fourth Proportional to 461.73, 637.31 and 286.97

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Solution

The fourth proportional to 461.73, 637.31 and 286.97 is: 396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 637.31 = 286.97 : x
  2. Step 2: Convert to fraction form
    461.73/637.31 = 286.97/x
  3. Step 3: Cross multiply
    461.73x = 637.31 × 286.97
  4. Step 4: Simplify right side
    461.73x = 182,889.01
  5. Step 5: Solve for x
    x = 182,889.01/461.73
  6. Step 6: Final answer
    x = 396.10

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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.