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Finding the Fourth Proportional to 461.42, 636.71 and 274.92

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Solution

The fourth proportional to 461.42, 636.71 and 274.92 is: 379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 636.71 = 274.92 : x
  2. Step 2: Convert to fraction form
    461.42/636.71 = 274.92/x
  3. Step 3: Cross multiply
    461.42x = 636.71 × 274.92
  4. Step 4: Simplify right side
    461.42x = 175,042.94
  5. Step 5: Solve for x
    x = 175,042.94/461.42
  6. Step 6: Final answer
    x = 379.36

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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.