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Finding the Fourth Proportional to 634.14, 874.95 and 372.12

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Solution

The fourth proportional to 634.14, 874.95 and 372.12 is: 513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.14 : 874.95 = 372.12 : x
  2. Step 2: Convert to fraction form
    634.14/874.95 = 372.12/x
  3. Step 3: Cross multiply
    634.14x = 874.95 × 372.12
  4. Step 4: Simplify right side
    634.14x = 325,586.39
  5. Step 5: Solve for x
    x = 325,586.39/634.14
  6. Step 6: Final answer
    x = 513.43

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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.