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Finding the Fourth Proportional to 428.43, 641.99 and 289.09

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Solution

The fourth proportional to 428.43, 641.99 and 289.09 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.43 : 641.99 = 289.09 : x
  2. Step 2: Convert to fraction form
    428.43/641.99 = 289.09/x
  3. Step 3: Cross multiply
    428.43x = 641.99 × 289.09
  4. Step 4: Simplify right side
    428.43x = 185,592.89
  5. Step 5: Solve for x
    x = 185,592.89/428.43
  6. Step 6: Final answer
    x = 433.19

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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.