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Finding the Fourth Proportional to 262.91, 394.44 and 234.23

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Solution

The fourth proportional to 262.91, 394.44 and 234.23 is: 351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.91 : 394.44 = 234.23 : x
  2. Step 2: Convert to fraction form
    262.91/394.44 = 234.23/x
  3. Step 3: Cross multiply
    262.91x = 394.44 × 234.23
  4. Step 4: Simplify right side
    262.91x = 92,387.71
  5. Step 5: Solve for x
    x = 92,387.71/262.91
  6. Step 6: Final answer
    x = 351.40

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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.