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Finding the Fourth Proportional to 563.12, 844.78 and 198.02

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Solution

The fourth proportional to 563.12, 844.78 and 198.02 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 844.78 = 198.02 : x
  2. Step 2: Convert to fraction form
    563.12/844.78 = 198.02/x
  3. Step 3: Cross multiply
    563.12x = 844.78 × 198.02
  4. Step 4: Simplify right side
    563.12x = 167,278.62
  5. Step 5: Solve for x
    x = 167,278.62/563.12
  6. Step 6: Final answer
    x = 297.06

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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.