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Finding the Fourth Proportional to 461.24, 636.54 and 264.86

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Solution

The fourth proportional to 461.24, 636.54 and 264.86 is: 365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.24 : 636.54 = 264.86 : x
  2. Step 2: Convert to fraction form
    461.24/636.54 = 264.86/x
  3. Step 3: Cross multiply
    461.24x = 636.54 × 264.86
  4. Step 4: Simplify right side
    461.24x = 168,593.98
  5. Step 5: Solve for x
    x = 168,593.98/461.24
  6. Step 6: Final answer
    x = 365.52

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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.