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Finding the Fourth Proportional to 461.27, 636.58 and 264.78

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Solution

The fourth proportional to 461.27, 636.58 and 264.78 is: 365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.27 : 636.58 = 264.78 : x
  2. Step 2: Convert to fraction form
    461.27/636.58 = 264.78/x
  3. Step 3: Cross multiply
    461.27x = 636.58 × 264.78
  4. Step 4: Simplify right side
    461.27x = 168,553.65
  5. Step 5: Solve for x
    x = 168,553.65/461.27
  6. Step 6: Final answer
    x = 365.41

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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.