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Finding the Fourth Proportional to 537.74, 741.92 and 327.92

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Solution

The fourth proportional to 537.74, 741.92 and 327.92 is: 452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 741.92 = 327.92 : x
  2. Step 2: Convert to fraction form
    537.74/741.92 = 327.92/x
  3. Step 3: Cross multiply
    537.74x = 741.92 × 327.92
  4. Step 4: Simplify right side
    537.74x = 243,285.06
  5. Step 5: Solve for x
    x = 243,285.06/537.74
  6. Step 6: Final answer
    x = 452.42

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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.