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Finding the Fourth Proportional to 372.67, 513.74 and 262.37

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Solution

The fourth proportional to 372.67, 513.74 and 262.37 is: 361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.67 : 513.74 = 262.37 : x
  2. Step 2: Convert to fraction form
    372.67/513.74 = 262.37/x
  3. Step 3: Cross multiply
    372.67x = 513.74 × 262.37
  4. Step 4: Simplify right side
    372.67x = 134,791.90
  5. Step 5: Solve for x
    x = 134,791.90/372.67
  6. Step 6: Final answer
    x = 361.69

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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.