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Finding the Fourth Proportional to 379.80, 523.04 and 371.75

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Solution

The fourth proportional to 379.80, 523.04 and 371.75 is: 511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 523.04 = 371.75 : x
  2. Step 2: Convert to fraction form
    379.80/523.04 = 371.75/x
  3. Step 3: Cross multiply
    379.80x = 523.04 × 371.75
  4. Step 4: Simplify right side
    379.80x = 194,435.65
  5. Step 5: Solve for x
    x = 194,435.65/379.80
  6. Step 6: Final answer
    x = 511.94

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