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Finding the Fourth Proportional to 461.02, 636.19 and 254.02

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Solution

The fourth proportional to 461.02, 636.19 and 254.02 is: 350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.02 : 636.19 = 254.02 : x
  2. Step 2: Convert to fraction form
    461.02/636.19 = 254.02/x
  3. Step 3: Cross multiply
    461.02x = 636.19 × 254.02
  4. Step 4: Simplify right side
    461.02x = 161,604.98
  5. Step 5: Solve for x
    x = 161,604.98/461.02
  6. Step 6: Final answer
    x = 350.54

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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.