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Finding the Fourth Proportional to 392.07, 538.80 and 381.14

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Solution

The fourth proportional to 392.07, 538.80 and 381.14 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.07 : 538.80 = 381.14 : x
  2. Step 2: Convert to fraction form
    392.07/538.80 = 381.14/x
  3. Step 3: Cross multiply
    392.07x = 538.80 × 381.14
  4. Step 4: Simplify right side
    392.07x = 205,358.23
  5. Step 5: Solve for x
    x = 205,358.23/392.07
  6. Step 6: Final answer
    x = 523.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.