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Finding the Fourth Proportional to 523.31, 784.41 and 230.56

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Solution

The fourth proportional to 523.31, 784.41 and 230.56 is: 345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.31 : 784.41 = 230.56 : x
  2. Step 2: Convert to fraction form
    523.31/784.41 = 230.56/x
  3. Step 3: Cross multiply
    523.31x = 784.41 × 230.56
  4. Step 4: Simplify right side
    523.31x = 180,853.57
  5. Step 5: Solve for x
    x = 180,853.57/523.31
  6. Step 6: Final answer
    x = 345.60

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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.