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Finding the Fourth Proportional to 682.39, 941.70 and 371.89

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Solution

The fourth proportional to 682.39, 941.70 and 371.89 is: 513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.39 : 941.70 = 371.89 : x
  2. Step 2: Convert to fraction form
    682.39/941.70 = 371.89/x
  3. Step 3: Cross multiply
    682.39x = 941.70 × 371.89
  4. Step 4: Simplify right side
    682.39x = 350,208.81
  5. Step 5: Solve for x
    x = 350,208.81/682.39
  6. Step 6: Final answer
    x = 513.21

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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.