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Finding the Fourth Proportional to 523.29, 784.92 and 138.54

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Solution

The fourth proportional to 523.29, 784.92 and 138.54 is: 207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 784.92 = 138.54 : x
  2. Step 2: Convert to fraction form
    523.29/784.92 = 138.54/x
  3. Step 3: Cross multiply
    523.29x = 784.92 × 138.54
  4. Step 4: Simplify right side
    523.29x = 108,739.66
  5. Step 5: Solve for x
    x = 108,739.66/523.29
  6. Step 6: Final answer
    x = 207.80

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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.