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Finding the Fourth Proportional to 523.16, 784.43 and 198.55

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Solution

The fourth proportional to 523.16, 784.43 and 198.55 is: 297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.16 : 784.43 = 198.55 : x
  2. Step 2: Convert to fraction form
    523.16/784.43 = 198.55/x
  3. Step 3: Cross multiply
    523.16x = 784.43 × 198.55
  4. Step 4: Simplify right side
    523.16x = 155,749.07
  5. Step 5: Solve for x
    x = 155,749.07/523.16
  6. Step 6: Final answer
    x = 297.71

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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.