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Finding the Fourth Proportional to 682.13, 941.34 and 371.63

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Solution

The fourth proportional to 682.13, 941.34 and 371.63 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 941.34 = 371.63 : x
  2. Step 2: Convert to fraction form
    682.13/941.34 = 371.63/x
  3. Step 3: Cross multiply
    682.13x = 941.34 × 371.63
  4. Step 4: Simplify right side
    682.13x = 349,825.48
  5. Step 5: Solve for x
    x = 349,825.48/682.13
  6. Step 6: Final answer
    x = 512.85

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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.