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Finding the Fourth Proportional to 636.96, 878.64 and 459.72

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Solution

The fourth proportional to 636.96, 878.64 and 459.72 is: 634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.96 : 878.64 = 459.72 : x
  2. Step 2: Convert to fraction form
    636.96/878.64 = 459.72/x
  3. Step 3: Cross multiply
    636.96x = 878.64 × 459.72
  4. Step 4: Simplify right side
    636.96x = 403,928.38
  5. Step 5: Solve for x
    x = 403,928.38/636.96
  6. Step 6: Final answer
    x = 634.15

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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.