The scores on the three tests are $s_1 = 64$, $s_2 = 69$, and $s_3 = 73$.
The average of the four scores must be at least 70 to pass the course.
The average of the four scores is given by:
$$ \text{Average} = \frac{s_1 + s_2 + s_3 + s_4}{4} $$
We want the average to be at least 70, so we have:
$$ \frac{s_1 + s_2 + s_3 + s_4}{4} \ge 70 $$
Substituting the given scores:
$$ \frac{64 + 69 + 73 + s_4}{4} \ge 70 $$
$$ \frac{206 + s_4}{4} \ge 70 $$
Multiply both sides by 4:
$$ 206 + s_4 \ge 280 $$
Subtract 206 from both sides:
$$ s_4 \ge 280 - 206 $$
$$ s_4 \ge 74 $$
Therefore, Andrew must earn at least a score of 74 on the final exam to maintain an average of 70 or higher.
Final Answer: The final answer is $\boxed{74}$