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Finding the Fourth Proportional to 331.15, 457.20 and 213.17

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Solution

The fourth proportional to 331.15, 457.20 and 213.17 is: 294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.15 : 457.20 = 213.17 : x
  2. Step 2: Convert to fraction form
    331.15/457.20 = 213.17/x
  3. Step 3: Cross multiply
    331.15x = 457.20 × 213.17
  4. Step 4: Simplify right side
    331.15x = 97,460.49
  5. Step 5: Solve for x
    x = 97,460.49/331.15
  6. Step 6: Final answer
    x = 294.31

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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.