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Finding the Fourth Proportional to 563.58, 845.37 and 198.37

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Solution

The fourth proportional to 563.58, 845.37 and 198.37 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.58 : 845.37 = 198.37 : x
  2. Step 2: Convert to fraction form
    563.58/845.37 = 198.37/x
  3. Step 3: Cross multiply
    563.58x = 845.37 × 198.37
  4. Step 4: Simplify right side
    563.58x = 167,696.36
  5. Step 5: Solve for x
    x = 167,696.36/563.58
  6. Step 6: Final answer
    x = 297.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.