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Finding the Fourth Proportional to 461.12, 636.36 and 264.64

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Solution

The fourth proportional to 461.12, 636.36 and 264.64 is: 365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 636.36 = 264.64 : x
  2. Step 2: Convert to fraction form
    461.12/636.36 = 264.64/x
  3. Step 3: Cross multiply
    461.12x = 636.36 × 264.64
  4. Step 4: Simplify right side
    461.12x = 168,404.72
  5. Step 5: Solve for x
    x = 168,404.72/461.12
  6. Step 6: Final answer
    x = 365.21

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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.