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Finding the Fourth Proportional to 331.31, 457.00 and 213.24

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Solution

The fourth proportional to 331.31, 457.00 and 213.24 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 457.00 = 213.24 : x
  2. Step 2: Convert to fraction form
    331.31/457.00 = 213.24/x
  3. Step 3: Cross multiply
    331.31x = 457.00 × 213.24
  4. Step 4: Simplify right side
    331.31x = 97,450.15
  5. Step 5: Solve for x
    x = 97,450.15/331.31
  6. Step 6: Final answer
    x = 294.14

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