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Finding the Fourth Proportional to 523.55, 784.81 and 231.21

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Solution

The fourth proportional to 523.55, 784.81 and 231.21 is: 346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 784.81 = 231.21 : x
  2. Step 2: Convert to fraction form
    523.55/784.81 = 231.21/x
  3. Step 3: Cross multiply
    523.55x = 784.81 × 231.21
  4. Step 4: Simplify right side
    523.55x = 181,455.92
  5. Step 5: Solve for x
    x = 181,455.92/523.55
  6. Step 6: Final answer
    x = 346.59

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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.