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Finding the Fourth Proportional to 432.17, 646.86 and 226.46

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Solution

The fourth proportional to 432.17, 646.86 and 226.46 is: 338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.17 : 646.86 = 226.46 : x
  2. Step 2: Convert to fraction form
    432.17/646.86 = 226.46/x
  3. Step 3: Cross multiply
    432.17x = 646.86 × 226.46
  4. Step 4: Simplify right side
    432.17x = 146,487.92
  5. Step 5: Solve for x
    x = 146,487.92/432.17
  6. Step 6: Final answer
    x = 338.96

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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.