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Finding the Fourth Proportional to 523.26, 784.80 and 198.56

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Solution

The fourth proportional to 523.26, 784.80 and 198.56 is: 297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 784.80 = 198.56 : x
  2. Step 2: Convert to fraction form
    523.26/784.80 = 198.56/x
  3. Step 3: Cross multiply
    523.26x = 784.80 × 198.56
  4. Step 4: Simplify right side
    523.26x = 155,829.89
  5. Step 5: Solve for x
    x = 155,829.89/523.26
  6. Step 6: Final answer
    x = 297.81

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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.