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Finding the Fourth Proportional to 563.66, 845.55 and 198.48

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Solution

The fourth proportional to 563.66, 845.55 and 198.48 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 845.55 = 198.48 : x
  2. Step 2: Convert to fraction form
    563.66/845.55 = 198.48/x
  3. Step 3: Cross multiply
    563.66x = 845.55 × 198.48
  4. Step 4: Simplify right side
    563.66x = 167,824.76
  5. Step 5: Solve for x
    x = 167,824.76/563.66
  6. Step 6: Final answer
    x = 297.74

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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.