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Finding the Fourth Proportional to 313.71, 468.73 and 231.09

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Solution

The fourth proportional to 313.71, 468.73 and 231.09 is: 345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.71 : 468.73 = 231.09 : x
  2. Step 2: Convert to fraction form
    313.71/468.73 = 231.09/x
  3. Step 3: Cross multiply
    313.71x = 468.73 × 231.09
  4. Step 4: Simplify right side
    313.71x = 108,318.82
  5. Step 5: Solve for x
    x = 108,318.82/313.71
  6. Step 6: Final answer
    x = 345.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.