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Finding the Fourth Proportional to 461.76, 636.33 and 356.64

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Solution

The fourth proportional to 461.76, 636.33 and 356.64 is: 491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 636.33 = 356.64 : x
  2. Step 2: Convert to fraction form
    461.76/636.33 = 356.64/x
  3. Step 3: Cross multiply
    461.76x = 636.33 × 356.64
  4. Step 4: Simplify right side
    461.76x = 226,940.73
  5. Step 5: Solve for x
    x = 226,940.73/461.76
  6. Step 6: Final answer
    x = 491.47

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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.