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Finding the Fourth Proportional to 636.34, 878.10 and 356.49

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Solution

The fourth proportional to 636.34, 878.10 and 356.49 is: 491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.34 : 878.10 = 356.49 : x
  2. Step 2: Convert to fraction form
    636.34/878.10 = 356.49/x
  3. Step 3: Cross multiply
    636.34x = 878.10 × 356.49
  4. Step 4: Simplify right side
    636.34x = 313,033.87
  5. Step 5: Solve for x
    x = 313,033.87/636.34
  6. Step 6: Final answer
    x = 491.93

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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.