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Finding the Fourth Proportional to 523.13, 784.49 and 198.27

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Solution

The fourth proportional to 523.13, 784.49 and 198.27 is: 297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 784.49 = 198.27 : x
  2. Step 2: Convert to fraction form
    523.13/784.49 = 198.27/x
  3. Step 3: Cross multiply
    523.13x = 784.49 × 198.27
  4. Step 4: Simplify right side
    523.13x = 155,539.84
  5. Step 5: Solve for x
    x = 155,539.84/523.13
  6. Step 6: Final answer
    x = 297.33

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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.