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Finding the Fourth Proportional to 537.94, 741.92 and 372.12

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Solution

The fourth proportional to 537.94, 741.92 and 372.12 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.94 : 741.92 = 372.12 : x
  2. Step 2: Convert to fraction form
    537.94/741.92 = 372.12/x
  3. Step 3: Cross multiply
    537.94x = 741.92 × 372.12
  4. Step 4: Simplify right side
    537.94x = 276,083.27
  5. Step 5: Solve for x
    x = 276,083.27/537.94
  6. Step 6: Final answer
    x = 513.22

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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.