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Finding the Fourth Proportional to 381.45, 571.81 and 207.96

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Solution

The fourth proportional to 381.45, 571.81 and 207.96 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.45 : 571.81 = 207.96 : x
  2. Step 2: Convert to fraction form
    381.45/571.81 = 207.96/x
  3. Step 3: Cross multiply
    381.45x = 571.81 × 207.96
  4. Step 4: Simplify right side
    381.45x = 118,913.61
  5. Step 5: Solve for x
    x = 118,913.61/381.45
  6. Step 6: Final answer
    x = 311.74

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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.