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Finding the Fourth Proportional to 541.62, 812.44 and 217.22

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Solution

The fourth proportional to 541.62, 812.44 and 217.22 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 812.44 = 217.22 : x
  2. Step 2: Convert to fraction form
    541.62/812.44 = 217.22/x
  3. Step 3: Cross multiply
    541.62x = 812.44 × 217.22
  4. Step 4: Simplify right side
    541.62x = 176,478.22
  5. Step 5: Solve for x
    x = 176,478.22/541.62
  6. Step 6: Final answer
    x = 325.83

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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.