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Finding the Fourth Proportional to 300.66, 450.14 and 232.31

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Solution

The fourth proportional to 300.66, 450.14 and 232.31 is: 347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.66 : 450.14 = 232.31 : x
  2. Step 2: Convert to fraction form
    300.66/450.14 = 232.31/x
  3. Step 3: Cross multiply
    300.66x = 450.14 × 232.31
  4. Step 4: Simplify right side
    300.66x = 104,571.99
  5. Step 5: Solve for x
    x = 104,571.99/300.66
  6. Step 6: Final answer
    x = 347.81

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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.