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Finding the Fourth Proportional to 310.44, 464.96 and 223.51

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Solution

The fourth proportional to 310.44, 464.96 and 223.51 is: 334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.44 : 464.96 = 223.51 : x
  2. Step 2: Convert to fraction form
    310.44/464.96 = 223.51/x
  3. Step 3: Cross multiply
    310.44x = 464.96 × 223.51
  4. Step 4: Simplify right side
    310.44x = 103,923.21
  5. Step 5: Solve for x
    x = 103,923.21/310.44
  6. Step 6: Final answer
    x = 334.76

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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.