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Finding the Fourth Proportional to 541.14, 812.04 and 216.73

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Solution

The fourth proportional to 541.14, 812.04 and 216.73 is: 325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 812.04 = 216.73 : x
  2. Step 2: Convert to fraction form
    541.14/812.04 = 216.73/x
  3. Step 3: Cross multiply
    541.14x = 812.04 × 216.73
  4. Step 4: Simplify right side
    541.14x = 175,993.43
  5. Step 5: Solve for x
    x = 175,993.43/541.14
  6. Step 6: Final answer
    x = 325.23

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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.