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Finding the Fourth Proportional to 523.07, 784.38 and 198.23

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Solution

The fourth proportional to 523.07, 784.38 and 198.23 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 784.38 = 198.23 : x
  2. Step 2: Convert to fraction form
    523.07/784.38 = 198.23/x
  3. Step 3: Cross multiply
    523.07x = 784.38 × 198.23
  4. Step 4: Simplify right side
    523.07x = 155,487.65
  5. Step 5: Solve for x
    x = 155,487.65/523.07
  6. Step 6: Final answer
    x = 297.26

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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.