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Finding the Fourth Proportional to 563.79, 846.11 and 217.37

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Solution

The fourth proportional to 563.79, 846.11 and 217.37 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.79 : 846.11 = 217.37 : x
  2. Step 2: Convert to fraction form
    563.79/846.11 = 217.37/x
  3. Step 3: Cross multiply
    563.79x = 846.11 × 217.37
  4. Step 4: Simplify right side
    563.79x = 183,918.93
  5. Step 5: Solve for x
    x = 183,918.93/563.79
  6. Step 6: Final answer
    x = 326.22

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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.