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Finding the Fourth Proportional to 538.91, 742.38 and 372.84

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Solution

The fourth proportional to 538.91, 742.38 and 372.84 is: 513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.91 : 742.38 = 372.84 : x
  2. Step 2: Convert to fraction form
    538.91/742.38 = 372.84/x
  3. Step 3: Cross multiply
    538.91x = 742.38 × 372.84
  4. Step 4: Simplify right side
    538.91x = 276,786.87
  5. Step 5: Solve for x
    x = 276,786.87/538.91
  6. Step 6: Final answer
    x = 513.61

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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.