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Finding the Fourth Proportional to 634.07, 874.78 and 385.30

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Solution

The fourth proportional to 634.07, 874.78 and 385.30 is: 531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.07 : 874.78 = 385.30 : x
  2. Step 2: Convert to fraction form
    634.07/874.78 = 385.30/x
  3. Step 3: Cross multiply
    634.07x = 874.78 × 385.30
  4. Step 4: Simplify right side
    634.07x = 337,052.73
  5. Step 5: Solve for x
    x = 337,052.73/634.07
  6. Step 6: Final answer
    x = 531.57

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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.