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Finding the Fourth Proportional to 523.28, 784.49 and 198.47

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Solution

The fourth proportional to 523.28, 784.49 and 198.47 is: 297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 784.49 = 198.47 : x
  2. Step 2: Convert to fraction form
    523.28/784.49 = 198.47/x
  3. Step 3: Cross multiply
    523.28x = 784.49 × 198.47
  4. Step 4: Simplify right side
    523.28x = 155,692.82
  5. Step 5: Solve for x
    x = 155,692.82/523.28
  6. Step 6: Final answer
    x = 297.54

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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.