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Finding the Fourth Proportional to 537.44, 741.70 and 327.64

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Solution

The fourth proportional to 537.44, 741.70 and 327.64 is: 452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.44 : 741.70 = 327.64 : x
  2. Step 2: Convert to fraction form
    537.44/741.70 = 327.64/x
  3. Step 3: Cross multiply
    537.44x = 741.70 × 327.64
  4. Step 4: Simplify right side
    537.44x = 243,010.59
  5. Step 5: Solve for x
    x = 243,010.59/537.44
  6. Step 6: Final answer
    x = 452.16

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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.