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Finding the Fourth Proportional to 682.87, 942.36 and 372.37

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Solution

The fourth proportional to 682.87, 942.36 and 372.37 is: 513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.87 : 942.36 = 372.37 : x
  2. Step 2: Convert to fraction form
    682.87/942.36 = 372.37/x
  3. Step 3: Cross multiply
    682.87x = 942.36 × 372.37
  4. Step 4: Simplify right side
    682.87x = 350,901.88
  5. Step 5: Solve for x
    x = 350,901.88/682.87
  6. Step 6: Final answer
    x = 513.87

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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.