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Finding the Fourth Proportional to 537.27, 741.06 and 327.30

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Solution

The fourth proportional to 537.27, 741.06 and 327.30 is: 451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.27 : 741.06 = 327.30 : x
  2. Step 2: Convert to fraction form
    537.27/741.06 = 327.30/x
  3. Step 3: Cross multiply
    537.27x = 741.06 × 327.30
  4. Step 4: Simplify right side
    537.27x = 242,548.94
  5. Step 5: Solve for x
    x = 242,548.94/537.27
  6. Step 6: Final answer
    x = 451.45

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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.