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Finding the Fourth Proportional to 380.65, 523.74 and 371.91

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Solution

The fourth proportional to 380.65, 523.74 and 371.91 is: 511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.65 : 523.74 = 371.91 : x
  2. Step 2: Convert to fraction form
    380.65/523.74 = 371.91/x
  3. Step 3: Cross multiply
    380.65x = 523.74 × 371.91
  4. Step 4: Simplify right side
    380.65x = 194,784.14
  5. Step 5: Solve for x
    x = 194,784.14/380.65
  6. Step 6: Final answer
    x = 511.71

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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.