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Finding the Fourth Proportional to 381.96, 573.56 and 259.34

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Solution

The fourth proportional to 381.96, 573.56 and 259.34 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 573.56 = 259.34 : x
  2. Step 2: Convert to fraction form
    381.96/573.56 = 259.34/x
  3. Step 3: Cross multiply
    381.96x = 573.56 × 259.34
  4. Step 4: Simplify right side
    381.96x = 148,747.05
  5. Step 5: Solve for x
    x = 148,747.05/381.96
  6. Step 6: Final answer
    x = 389.43

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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.