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Finding the Fourth Proportional to 636.45, 878.25 and 356.63

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Solution

The fourth proportional to 636.45, 878.25 and 356.63 is: 492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.45 : 878.25 = 356.63 : x
  2. Step 2: Convert to fraction form
    636.45/878.25 = 356.63/x
  3. Step 3: Cross multiply
    636.45x = 878.25 × 356.63
  4. Step 4: Simplify right side
    636.45x = 313,205.91
  5. Step 5: Solve for x
    x = 313,205.91/636.45
  6. Step 6: Final answer
    x = 492.11

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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.