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Finding the Fourth Proportional to 563.64, 845.04 and 198.24

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Solution

The fourth proportional to 563.64, 845.04 and 198.24 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.64 : 845.04 = 198.24 : x
  2. Step 2: Convert to fraction form
    563.64/845.04 = 198.24/x
  3. Step 3: Cross multiply
    563.64x = 845.04 × 198.24
  4. Step 4: Simplify right side
    563.64x = 167,520.73
  5. Step 5: Solve for x
    x = 167,520.73/563.64
  6. Step 6: Final answer
    x = 297.21

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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.