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Finding the Fourth Proportional to 427.46, 589.90 and 230.97

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Solution

The fourth proportional to 427.46, 589.90 and 230.97 is: 318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.46 : 589.90 = 230.97 : x
  2. Step 2: Convert to fraction form
    427.46/589.90 = 230.97/x
  3. Step 3: Cross multiply
    427.46x = 589.90 × 230.97
  4. Step 4: Simplify right side
    427.46x = 136,250.04
  5. Step 5: Solve for x
    x = 136,250.04/427.46
  6. Step 6: Final answer
    x = 318.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.