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Finding the Fourth Proportional to 262.70, 394.26 and 260.68

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Solution

The fourth proportional to 262.70, 394.26 and 260.68 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 394.26 = 260.68 : x
  2. Step 2: Convert to fraction form
    262.70/394.26 = 260.68/x
  3. Step 3: Cross multiply
    262.70x = 394.26 × 260.68
  4. Step 4: Simplify right side
    262.70x = 102,775.70
  5. Step 5: Solve for x
    x = 102,775.70/262.70
  6. Step 6: Final answer
    x = 391.23

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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.