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Finding the Fourth Proportional to 537.94, 742.44 and 361.23

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Solution

The fourth proportional to 537.94, 742.44 and 361.23 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.94 : 742.44 = 361.23 : x
  2. Step 2: Convert to fraction form
    537.94/742.44 = 361.23/x
  3. Step 3: Cross multiply
    537.94x = 742.44 × 361.23
  4. Step 4: Simplify right side
    537.94x = 268,195.42
  5. Step 5: Solve for x
    x = 268,195.42/537.94
  6. Step 6: Final answer
    x = 498.56

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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.