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Finding the Fourth Proportional to 842.87, 1,264.21 and 226.62

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Solution

The fourth proportional to 842.87, 1,264.21 and 226.62 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.87 : 1,264.21 = 226.62 : x
  2. Step 2: Convert to fraction form
    842.87/1,264.21 = 226.62/x
  3. Step 3: Cross multiply
    842.87x = 1,264.21 × 226.62
  4. Step 4: Simplify right side
    842.87x = 286,495.27
  5. Step 5: Solve for x
    x = 286,495.27/842.87
  6. Step 6: Final answer
    x = 339.90

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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.