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Finding the Fourth Proportional to 310.23, 464.49 and 223.65

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Solution

The fourth proportional to 310.23, 464.49 and 223.65 is: 334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 464.49 = 223.65 : x
  2. Step 2: Convert to fraction form
    310.23/464.49 = 223.65/x
  3. Step 3: Cross multiply
    310.23x = 464.49 × 223.65
  4. Step 4: Simplify right side
    310.23x = 103,883.19
  5. Step 5: Solve for x
    x = 103,883.19/310.23
  6. Step 6: Final answer
    x = 334.86

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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.