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Finding the Fourth Proportional to 461.82, 637.28 and 287.14

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Solution

The fourth proportional to 461.82, 637.28 and 287.14 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 637.28 = 287.14 : x
  2. Step 2: Convert to fraction form
    461.82/637.28 = 287.14/x
  3. Step 3: Cross multiply
    461.82x = 637.28 × 287.14
  4. Step 4: Simplify right side
    461.82x = 182,988.58
  5. Step 5: Solve for x
    x = 182,988.58/461.82
  6. Step 6: Final answer
    x = 396.23

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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.