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Finding the Fourth Proportional to 534.06, 737.07 and 324.27

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Solution

The fourth proportional to 534.06, 737.07 and 324.27 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.06 : 737.07 = 324.27 : x
  2. Step 2: Convert to fraction form
    534.06/737.07 = 324.27/x
  3. Step 3: Cross multiply
    534.06x = 737.07 × 324.27
  4. Step 4: Simplify right side
    534.06x = 239,008.47
  5. Step 5: Solve for x
    x = 239,008.47/534.06
  6. Step 6: Final answer
    x = 447.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.