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Finding the Fourth Proportional to 428.22, 641.52 and 266.22

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Solution

The fourth proportional to 428.22, 641.52 and 266.22 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 641.52 = 266.22 : x
  2. Step 2: Convert to fraction form
    428.22/641.52 = 266.22/x
  3. Step 3: Cross multiply
    428.22x = 641.52 × 266.22
  4. Step 4: Simplify right side
    428.22x = 170,785.45
  5. Step 5: Solve for x
    x = 170,785.45/428.22
  6. Step 6: Final answer
    x = 398.83

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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.