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Finding the Fourth Proportional to 523.28, 784.89 and 234.92

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Solution

The fourth proportional to 523.28, 784.89 and 234.92 is: 352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 784.89 = 234.92 : x
  2. Step 2: Convert to fraction form
    523.28/784.89 = 234.92/x
  3. Step 3: Cross multiply
    523.28x = 784.89 × 234.92
  4. Step 4: Simplify right side
    523.28x = 184,386.36
  5. Step 5: Solve for x
    x = 184,386.36/523.28
  6. Step 6: Final answer
    x = 352.37

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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.