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Finding the Fourth Proportional to 523.28, 784.76 and 198.80

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Solution

The fourth proportional to 523.28, 784.76 and 198.80 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 784.76 = 198.80 : x
  2. Step 2: Convert to fraction form
    523.28/784.76 = 198.80/x
  3. Step 3: Cross multiply
    523.28x = 784.76 × 198.80
  4. Step 4: Simplify right side
    523.28x = 156,010.29
  5. Step 5: Solve for x
    x = 156,010.29/523.28
  6. Step 6: Final answer
    x = 298.14

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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.