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Finding the Fourth Proportional to 461.62, 637.04 and 254.62

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Solution

The fourth proportional to 461.62, 637.04 and 254.62 is: 351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 637.04 = 254.62 : x
  2. Step 2: Convert to fraction form
    461.62/637.04 = 254.62/x
  3. Step 3: Cross multiply
    461.62x = 637.04 × 254.62
  4. Step 4: Simplify right side
    461.62x = 162,201.85
  5. Step 5: Solve for x
    x = 162,201.85/461.62
  6. Step 6: Final answer
    x = 351.38

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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.