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Finding the Fourth Proportional to 523.53, 784.89 and 198.86

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Solution

The fourth proportional to 523.53, 784.89 and 198.86 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 784.89 = 198.86 : x
  2. Step 2: Convert to fraction form
    523.53/784.89 = 198.86/x
  3. Step 3: Cross multiply
    523.53x = 784.89 × 198.86
  4. Step 4: Simplify right side
    523.53x = 156,079.30
  5. Step 5: Solve for x
    x = 156,079.30/523.53
  6. Step 6: Final answer
    x = 298.13

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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.