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Finding the Fourth Proportional to 682.42, 941.74 and 371.92

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Solution

The fourth proportional to 682.42, 941.74 and 371.92 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 941.74 = 371.92 : x
  2. Step 2: Convert to fraction form
    682.42/941.74 = 371.92/x
  3. Step 3: Cross multiply
    682.42x = 941.74 × 371.92
  4. Step 4: Simplify right side
    682.42x = 350,249.10
  5. Step 5: Solve for x
    x = 350,249.10/682.42
  6. Step 6: Final answer
    x = 513.25

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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.