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Finding the Fourth Proportional to 461.26, 636.39 and 262.08

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Solution

The fourth proportional to 461.26, 636.39 and 262.08 is: 361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.26 : 636.39 = 262.08 : x
  2. Step 2: Convert to fraction form
    461.26/636.39 = 262.08/x
  3. Step 3: Cross multiply
    461.26x = 636.39 × 262.08
  4. Step 4: Simplify right side
    461.26x = 166,781.91
  5. Step 5: Solve for x
    x = 166,781.91/461.26
  6. Step 6: Final answer
    x = 361.58

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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.