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Finding the Fourth Proportional to 523.11, 784.02 and 230.37

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Solution

The fourth proportional to 523.11, 784.02 and 230.37 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 784.02 = 230.37 : x
  2. Step 2: Convert to fraction form
    523.11/784.02 = 230.37/x
  3. Step 3: Cross multiply
    523.11x = 784.02 × 230.37
  4. Step 4: Simplify right side
    523.11x = 180,614.69
  5. Step 5: Solve for x
    x = 180,614.69/523.11
  6. Step 6: Final answer
    x = 345.27

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Why These Related Problems?

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