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Finding the Fourth Proportional to 523.27, 720.47 and 444.43

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Solution

The fourth proportional to 523.27, 720.47 and 444.43 is: 611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.27 : 720.47 = 444.43 : x
  2. Step 2: Convert to fraction form
    523.27/720.47 = 444.43/x
  3. Step 3: Cross multiply
    523.27x = 720.47 × 444.43
  4. Step 4: Simplify right side
    523.27x = 320,198.48
  5. Step 5: Solve for x
    x = 320,198.48/523.27
  6. Step 6: Final answer
    x = 611.92

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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.