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Finding the Fourth Proportional to 563.73, 845.31 and 198.46

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Solution

The fourth proportional to 563.73, 845.31 and 198.46 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.73 : 845.31 = 198.46 : x
  2. Step 2: Convert to fraction form
    563.73/845.31 = 198.46/x
  3. Step 3: Cross multiply
    563.73x = 845.31 × 198.46
  4. Step 4: Simplify right side
    563.73x = 167,762.02
  5. Step 5: Solve for x
    x = 167,762.02/563.73
  6. Step 6: Final answer
    x = 297.59

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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.