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Finding the Fourth Proportional to 541.22, 746.68 and 331.23

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Solution

The fourth proportional to 541.22, 746.68 and 331.23 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.22 : 746.68 = 331.23 : x
  2. Step 2: Convert to fraction form
    541.22/746.68 = 331.23/x
  3. Step 3: Cross multiply
    541.22x = 746.68 × 331.23
  4. Step 4: Simplify right side
    541.22x = 247,317.43
  5. Step 5: Solve for x
    x = 247,317.43/541.22
  6. Step 6: Final answer
    x = 456.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.