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Finding the Fourth Proportional to 523.59, 785.49 and 198.96

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Solution

The fourth proportional to 523.59, 785.49 and 198.96 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.59 : 785.49 = 198.96 : x
  2. Step 2: Convert to fraction form
    523.59/785.49 = 198.96/x
  3. Step 3: Cross multiply
    523.59x = 785.49 × 198.96
  4. Step 4: Simplify right side
    523.59x = 156,281.09
  5. Step 5: Solve for x
    x = 156,281.09/523.59
  6. Step 6: Final answer
    x = 298.48

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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.