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Finding the Fourth Proportional to 431.46, 646.38 and 226.23

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Solution

The fourth proportional to 431.46, 646.38 and 226.23 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 646.38 = 226.23 : x
  2. Step 2: Convert to fraction form
    431.46/646.38 = 226.23/x
  3. Step 3: Cross multiply
    431.46x = 646.38 × 226.23
  4. Step 4: Simplify right side
    431.46x = 146,228.12
  5. Step 5: Solve for x
    x = 146,228.12/431.46
  6. Step 6: Final answer
    x = 338.91

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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.