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Finding the Fourth Proportional to 541.31, 811.89 and 216.56

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Solution

The fourth proportional to 541.31, 811.89 and 216.56 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.31 : 811.89 = 216.56 : x
  2. Step 2: Convert to fraction form
    541.31/811.89 = 216.56/x
  3. Step 3: Cross multiply
    541.31x = 811.89 × 216.56
  4. Step 4: Simplify right side
    541.31x = 175,824.93
  5. Step 5: Solve for x
    x = 175,824.93/541.31
  6. Step 6: Final answer
    x = 324.82

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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.