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Finding the Fourth Proportional to 682.57, 941.96 and 372.07

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Solution

The fourth proportional to 682.57, 941.96 and 372.07 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.57 : 941.96 = 372.07 : x
  2. Step 2: Convert to fraction form
    682.57/941.96 = 372.07/x
  3. Step 3: Cross multiply
    682.57x = 941.96 × 372.07
  4. Step 4: Simplify right side
    682.57x = 350,475.06
  5. Step 5: Solve for x
    x = 350,475.06/682.57
  6. Step 6: Final answer
    x = 513.46

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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.