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Finding the Fourth Proportional to 682.25, 941.52 and 371.75

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Solution

The fourth proportional to 682.25, 941.52 and 371.75 is: 513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 941.52 = 371.75 : x
  2. Step 2: Convert to fraction form
    682.25/941.52 = 371.75/x
  3. Step 3: Cross multiply
    682.25x = 941.52 × 371.75
  4. Step 4: Simplify right side
    682.25x = 350,010.06
  5. Step 5: Solve for x
    x = 350,010.06/682.25
  6. Step 6: Final answer
    x = 513.02

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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.