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Finding the Fourth Proportional to 461.16, 636.19 and 274.55

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Solution

The fourth proportional to 461.16, 636.19 and 274.55 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 636.19 = 274.55 : x
  2. Step 2: Convert to fraction form
    461.16/636.19 = 274.55/x
  3. Step 3: Cross multiply
    461.16x = 636.19 × 274.55
  4. Step 4: Simplify right side
    461.16x = 174,662.78
  5. Step 5: Solve for x
    x = 174,662.78/461.16
  6. Step 6: Final answer
    x = 378.75

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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.