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Finding the Fourth Proportional to 636.94, 878.14 and 459.75

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Solution

The fourth proportional to 636.94, 878.14 and 459.75 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.94 : 878.14 = 459.75 : x
  2. Step 2: Convert to fraction form
    636.94/878.14 = 459.75/x
  3. Step 3: Cross multiply
    636.94x = 878.14 × 459.75
  4. Step 4: Simplify right side
    636.94x = 403,725.91
  5. Step 5: Solve for x
    x = 403,725.91/636.94
  6. Step 6: Final answer
    x = 633.85

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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.