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Finding the Fourth Proportional to 381.94, 571.61 and 317.88

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Solution

The fourth proportional to 381.94, 571.61 and 317.88 is: 475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 571.61 = 317.88 : x
  2. Step 2: Convert to fraction form
    381.94/571.61 = 317.88/x
  3. Step 3: Cross multiply
    381.94x = 571.61 × 317.88
  4. Step 4: Simplify right side
    381.94x = 181,704.18
  5. Step 5: Solve for x
    x = 181,704.18/381.94
  6. Step 6: Final answer
    x = 475.74

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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.