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Finding the Fourth Proportional to 523.43, 784.62 and 194.28

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Solution

The fourth proportional to 523.43, 784.62 and 194.28 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 784.62 = 194.28 : x
  2. Step 2: Convert to fraction form
    523.43/784.62 = 194.28/x
  3. Step 3: Cross multiply
    523.43x = 784.62 × 194.28
  4. Step 4: Simplify right side
    523.43x = 152,435.97
  5. Step 5: Solve for x
    x = 152,435.97/523.43
  6. Step 6: Final answer
    x = 291.23

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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.