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Finding the Fourth Proportional to 461.30, 636.62 and 264.83

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Solution

The fourth proportional to 461.30, 636.62 and 264.83 is: 365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 636.62 = 264.83 : x
  2. Step 2: Convert to fraction form
    461.30/636.62 = 264.83/x
  3. Step 3: Cross multiply
    461.30x = 636.62 × 264.83
  4. Step 4: Simplify right side
    461.30x = 168,591.57
  5. Step 5: Solve for x
    x = 168,591.57/461.30
  6. Step 6: Final answer
    x = 365.47

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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.