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Finding the Fourth Proportional to 382.11, 527.60 and 299.05

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Solution

The fourth proportional to 382.11, 527.60 and 299.05 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.11 : 527.60 = 299.05 : x
  2. Step 2: Convert to fraction form
    382.11/527.60 = 299.05/x
  3. Step 3: Cross multiply
    382.11x = 527.60 × 299.05
  4. Step 4: Simplify right side
    382.11x = 157,778.78
  5. Step 5: Solve for x
    x = 157,778.78/382.11
  6. Step 6: Final answer
    x = 412.91

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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.