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Finding the Fourth Proportional to 381.11, 525.49 and 302.27

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Solution

The fourth proportional to 381.11, 525.49 and 302.27 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 525.49 = 302.27 : x
  2. Step 2: Convert to fraction form
    381.11/525.49 = 302.27/x
  3. Step 3: Cross multiply
    381.11x = 525.49 × 302.27
  4. Step 4: Simplify right side
    381.11x = 158,836.48
  5. Step 5: Solve for x
    x = 158,836.48/381.11
  6. Step 6: Final answer
    x = 416.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.