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Finding the Fourth Proportional to 347.31, 520.83 and 217.37

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Solution

The fourth proportional to 347.31, 520.83 and 217.37 is: 325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.31 : 520.83 = 217.37 : x
  2. Step 2: Convert to fraction form
    347.31/520.83 = 217.37/x
  3. Step 3: Cross multiply
    347.31x = 520.83 × 217.37
  4. Step 4: Simplify right side
    347.31x = 113,214.12
  5. Step 5: Solve for x
    x = 113,214.12/347.31
  6. Step 6: Final answer
    x = 325.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.