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Finding the Fourth Proportional to 634.48, 950.76 and 452.26

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Solution

The fourth proportional to 634.48, 950.76 and 452.26 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 950.76 = 452.26 : x
  2. Step 2: Convert to fraction form
    634.48/950.76 = 452.26/x
  3. Step 3: Cross multiply
    634.48x = 950.76 × 452.26
  4. Step 4: Simplify right side
    634.48x = 429,990.72
  5. Step 5: Solve for x
    x = 429,990.72/634.48
  6. Step 6: Final answer
    x = 677.71

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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.