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Finding the Fourth Proportional to 461.34, 636.60 and 264.86

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Solution

The fourth proportional to 461.34, 636.60 and 264.86 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 636.60 = 264.86 : x
  2. Step 2: Convert to fraction form
    461.34/636.60 = 264.86/x
  3. Step 3: Cross multiply
    461.34x = 636.60 × 264.86
  4. Step 4: Simplify right side
    461.34x = 168,609.88
  5. Step 5: Solve for x
    x = 168,609.88/461.34
  6. Step 6: Final answer
    x = 365.48

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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.