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Finding the Fourth Proportional to 461.96, 693.26 and 205.48

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Solution

The fourth proportional to 461.96, 693.26 and 205.48 is: 308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 693.26 = 205.48 : x
  2. Step 2: Convert to fraction form
    461.96/693.26 = 205.48/x
  3. Step 3: Cross multiply
    461.96x = 693.26 × 205.48
  4. Step 4: Simplify right side
    461.96x = 142,451.06
  5. Step 5: Solve for x
    x = 142,451.06/461.96
  6. Step 6: Final answer
    x = 308.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.