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Finding the Fourth Proportional to 682.21, 941.43 and 371.71

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Solution

The fourth proportional to 682.21, 941.43 and 371.71 is: 512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.21 : 941.43 = 371.71 : x
  2. Step 2: Convert to fraction form
    682.21/941.43 = 371.71/x
  3. Step 3: Cross multiply
    682.21x = 941.43 × 371.71
  4. Step 4: Simplify right side
    682.21x = 349,938.95
  5. Step 5: Solve for x
    x = 349,938.95/682.21
  6. Step 6: Final answer
    x = 512.95

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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.