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Finding the Fourth Proportional to 563.98, 845.89 and 217.48

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Solution

The fourth proportional to 563.98, 845.89 and 217.48 is: 326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 845.89 = 217.48 : x
  2. Step 2: Convert to fraction form
    563.98/845.89 = 217.48/x
  3. Step 3: Cross multiply
    563.98x = 845.89 × 217.48
  4. Step 4: Simplify right side
    563.98x = 183,960.96
  5. Step 5: Solve for x
    x = 183,960.96/563.98
  6. Step 6: Final answer
    x = 326.18

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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.