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Finding the Fourth Proportional to 381.17, 571.21 and 207.46

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Solution

The fourth proportional to 381.17, 571.21 and 207.46 is: 310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.17 : 571.21 = 207.46 : x
  2. Step 2: Convert to fraction form
    381.17/571.21 = 207.46/x
  3. Step 3: Cross multiply
    381.17x = 571.21 × 207.46
  4. Step 4: Simplify right side
    381.17x = 118,499.33
  5. Step 5: Solve for x
    x = 118,499.33/381.17
  6. Step 6: Final answer
    x = 310.89

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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.