The value of the expression $3 \left( \frac{2}{3} \right)^2 - 2 \left( \frac{2}{3} \right) + 4$ is 4.

Would you like more details on how this was calculated, or do you have any other questions?

Here are 5 related questions you might find interesting:

1. How do you simplify complex algebraic expressions?
2. What is the importance of following the order of operations (PEMDAS) in calculations?
3. How do you solve equations involving fractions?
4. What is the process for expanding and simplifying polynomial expressions?
5. How do you approach solving quadratic equations?

Tip: When dealing with expressions involving fractions, it’s often helpful to break them down into smaller parts to ensure accuracy.