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Finding the Fourth Proportional to 682.05, 941.20 and 371.55

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Solution

The fourth proportional to 682.05, 941.20 and 371.55 is: 512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 941.20 = 371.55 : x
  2. Step 2: Convert to fraction form
    682.05/941.20 = 371.55/x
  3. Step 3: Cross multiply
    682.05x = 941.20 × 371.55
  4. Step 4: Simplify right side
    682.05x = 349,702.86
  5. Step 5: Solve for x
    x = 349,702.86/682.05
  6. Step 6: Final answer
    x = 512.72

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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.