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Finding the Fourth Proportional to 461.22, 636.50 and 264.73

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Solution

The fourth proportional to 461.22, 636.50 and 264.73 is: 365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 636.50 = 264.73 : x
  2. Step 2: Convert to fraction form
    461.22/636.50 = 264.73/x
  3. Step 3: Cross multiply
    461.22x = 636.50 × 264.73
  4. Step 4: Simplify right side
    461.22x = 168,500.65
  5. Step 5: Solve for x
    x = 168,500.65/461.22
  6. Step 6: Final answer
    x = 365.34

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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.