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Finding the Fourth Proportional to 461.05, 636.28 and 264.57

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Solution

The fourth proportional to 461.05, 636.28 and 264.57 is: 365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 636.28 = 264.57 : x
  2. Step 2: Convert to fraction form
    461.05/636.28 = 264.57/x
  3. Step 3: Cross multiply
    461.05x = 636.28 × 264.57
  4. Step 4: Simplify right side
    461.05x = 168,338.30
  5. Step 5: Solve for x
    x = 168,338.30/461.05
  6. Step 6: Final answer
    x = 365.12

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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.