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Finding the Fourth Proportional to 428.44, 642.81 and 211.96

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Solution

The fourth proportional to 428.44, 642.81 and 211.96 is: 318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.44 : 642.81 = 211.96 : x
  2. Step 2: Convert to fraction form
    428.44/642.81 = 211.96/x
  3. Step 3: Cross multiply
    428.44x = 642.81 × 211.96
  4. Step 4: Simplify right side
    428.44x = 136,250.01
  5. Step 5: Solve for x
    x = 136,250.01/428.44
  6. Step 6: Final answer
    x = 318.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.