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Finding the Fourth Proportional to 523.46, 784.72 and 199.05

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Solution

The fourth proportional to 523.46, 784.72 and 199.05 is: 298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.46 : 784.72 = 199.05 : x
  2. Step 2: Convert to fraction form
    523.46/784.72 = 199.05/x
  3. Step 3: Cross multiply
    523.46x = 784.72 × 199.05
  4. Step 4: Simplify right side
    523.46x = 156,198.52
  5. Step 5: Solve for x
    x = 156,198.52/523.46
  6. Step 6: Final answer
    x = 298.40

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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.