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Finding the Fourth Proportional to 459.90, 634.17 and 453.09

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Solution

The fourth proportional to 459.90, 634.17 and 453.09 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 634.17 = 453.09 : x
  2. Step 2: Convert to fraction form
    459.90/634.17 = 453.09/x
  3. Step 3: Cross multiply
    459.90x = 634.17 × 453.09
  4. Step 4: Simplify right side
    459.90x = 287,336.09
  5. Step 5: Solve for x
    x = 287,336.09/459.90
  6. Step 6: Final answer
    x = 624.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.