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Finding the Fourth Proportional to 523.15, 784.57 and 198.44

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Solution

The fourth proportional to 523.15, 784.57 and 198.44 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.15 : 784.57 = 198.44 : x
  2. Step 2: Convert to fraction form
    523.15/784.57 = 198.44/x
  3. Step 3: Cross multiply
    523.15x = 784.57 × 198.44
  4. Step 4: Simplify right side
    523.15x = 155,690.07
  5. Step 5: Solve for x
    x = 155,690.07/523.15
  6. Step 6: Final answer
    x = 297.60

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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.