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Finding the Fourth Proportional to 523.67, 784.69 and 198.86

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Solution

The fourth proportional to 523.67, 784.69 and 198.86 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.67 : 784.69 = 198.86 : x
  2. Step 2: Convert to fraction form
    523.67/784.69 = 198.86/x
  3. Step 3: Cross multiply
    523.67x = 784.69 × 198.86
  4. Step 4: Simplify right side
    523.67x = 156,039.03
  5. Step 5: Solve for x
    x = 156,039.03/523.67
  6. Step 6: Final answer
    x = 297.97

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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.