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Finding the Fourth Proportional to 563.97, 845.56 and 217.01

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Solution

The fourth proportional to 563.97, 845.56 and 217.01 is: 325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.97 : 845.56 = 217.01 : x
  2. Step 2: Convert to fraction form
    563.97/845.56 = 217.01/x
  3. Step 3: Cross multiply
    563.97x = 845.56 × 217.01
  4. Step 4: Simplify right side
    563.97x = 183,497.36
  5. Step 5: Solve for x
    x = 183,497.36/563.97
  6. Step 6: Final answer
    x = 325.37

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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.