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Finding the Fourth Proportional to 634.15, 874.92 and 372.16

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Solution

The fourth proportional to 634.15, 874.92 and 372.16 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.15 : 874.92 = 372.16 : x
  2. Step 2: Convert to fraction form
    634.15/874.92 = 372.16/x
  3. Step 3: Cross multiply
    634.15x = 874.92 × 372.16
  4. Step 4: Simplify right side
    634.15x = 325,610.23
  5. Step 5: Solve for x
    x = 325,610.23/634.15
  6. Step 6: Final answer
    x = 513.46

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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.