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Finding the Fourth Proportional to 523.27, 784.79 and 230.86

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Solution

The fourth proportional to 523.27, 784.79 and 230.86 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.27 : 784.79 = 230.86 : x
  2. Step 2: Convert to fraction form
    523.27/784.79 = 230.86/x
  3. Step 3: Cross multiply
    523.27x = 784.79 × 230.86
  4. Step 4: Simplify right side
    523.27x = 181,171.54
  5. Step 5: Solve for x
    x = 181,171.54/523.27
  6. Step 6: Final answer
    x = 346.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.