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Finding the Fourth Proportional to 634.24, 875.16 and 372.16

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Solution

The fourth proportional to 634.24, 875.16 and 372.16 is: 513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.24 : 875.16 = 372.16 : x
  2. Step 2: Convert to fraction form
    634.24/875.16 = 372.16/x
  3. Step 3: Cross multiply
    634.24x = 875.16 × 372.16
  4. Step 4: Simplify right side
    634.24x = 325,699.55
  5. Step 5: Solve for x
    x = 325,699.55/634.24
  6. Step 6: Final answer
    x = 513.53

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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.