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Finding the Fourth Proportional to 461.42, 636.74 and 262.27

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Solution

The fourth proportional to 461.42, 636.74 and 262.27 is: 361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 636.74 = 262.27 : x
  2. Step 2: Convert to fraction form
    461.42/636.74 = 262.27/x
  3. Step 3: Cross multiply
    461.42x = 636.74 × 262.27
  4. Step 4: Simplify right side
    461.42x = 166,993.30
  5. Step 5: Solve for x
    x = 166,993.30/461.42
  6. Step 6: Final answer
    x = 361.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.