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Finding the Fourth Proportional to 534.27, 737.13 and 324.37

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Solution

The fourth proportional to 534.27, 737.13 and 324.37 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.27 : 737.13 = 324.37 : x
  2. Step 2: Convert to fraction form
    534.27/737.13 = 324.37/x
  3. Step 3: Cross multiply
    534.27x = 737.13 × 324.37
  4. Step 4: Simplify right side
    534.27x = 239,102.86
  5. Step 5: Solve for x
    x = 239,102.86/534.27
  6. Step 6: Final answer
    x = 447.53

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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.