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Finding the Fourth Proportional to 523.45, 785.31 and 198.82

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Solution

The fourth proportional to 523.45, 785.31 and 198.82 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.45 : 785.31 = 198.82 : x
  2. Step 2: Convert to fraction form
    523.45/785.31 = 198.82/x
  3. Step 3: Cross multiply
    523.45x = 785.31 × 198.82
  4. Step 4: Simplify right side
    523.45x = 156,135.33
  5. Step 5: Solve for x
    x = 156,135.33/523.45
  6. Step 6: Final answer
    x = 298.28

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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.