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Finding the Fourth Proportional to 682.52, 941.87 and 372.02

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Solution

The fourth proportional to 682.52, 941.87 and 372.02 is: 513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.52 : 941.87 = 372.02 : x
  2. Step 2: Convert to fraction form
    682.52/941.87 = 372.02/x
  3. Step 3: Cross multiply
    682.52x = 941.87 × 372.02
  4. Step 4: Simplify right side
    682.52x = 350,390.70
  5. Step 5: Solve for x
    x = 350,390.70/682.52
  6. Step 6: Final answer
    x = 513.38

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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.