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Finding the Fourth Proportional to 541.28, 811.01 and 321.37

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Solution

The fourth proportional to 541.28, 811.01 and 321.37 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.28 : 811.01 = 321.37 : x
  2. Step 2: Convert to fraction form
    541.28/811.01 = 321.37/x
  3. Step 3: Cross multiply
    541.28x = 811.01 × 321.37
  4. Step 4: Simplify right side
    541.28x = 260,633.06
  5. Step 5: Solve for x
    x = 260,633.06/541.28
  6. Step 6: Final answer
    x = 481.51

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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.