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Finding the Fourth Proportional to 634.74, 952.25 and 453.26

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Solution

The fourth proportional to 634.74, 952.25 and 453.26 is: 679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.74 : 952.25 = 453.26 : x
  2. Step 2: Convert to fraction form
    634.74/952.25 = 453.26/x
  3. Step 3: Cross multiply
    634.74x = 952.25 × 453.26
  4. Step 4: Simplify right side
    634.74x = 431,609.81
  5. Step 5: Solve for x
    x = 431,609.81/634.74
  6. Step 6: Final answer
    x = 679.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.