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Finding the Fourth Proportional to 563.66, 845.42 and 198.46

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Solution

The fourth proportional to 563.66, 845.42 and 198.46 is: 297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 845.42 = 198.46 : x
  2. Step 2: Convert to fraction form
    563.66/845.42 = 198.46/x
  3. Step 3: Cross multiply
    563.66x = 845.42 × 198.46
  4. Step 4: Simplify right side
    563.66x = 167,782.05
  5. Step 5: Solve for x
    x = 167,782.05/563.66
  6. Step 6: Final answer
    x = 297.67

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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.