To solve the equation \( 418.9 \times x = 4.189 \) for \( x \), follow these steps:

### Step 1: Isolate \( x \)
To isolate \( x \), divide both sides of the equation by 418.9:
\[
x = \frac{4.189}{418.9}
\]

### Step 2: Calculate the Value of \( x \)
Now, perform the division:

\[
x = \frac{4.189}{418.9} = 0.01
\]

Thus, \( x = 0.01 \).

Would you like further details or have any questions about this?

Here are five related questions you might explore:

1. What happens if you multiply both sides of an equation by the same number?
2. How would the equation change if the value on the right-hand side was negative?
3. Can you solve a similar equation with decimals on both sides?
4. What is the importance of keeping operations balanced on both sides of an equation?
5. How does this solution change if 418.9 was rounded?

**Tip:** When working with decimals, ensure your calculations maintain precision by carefully aligning decimal points.

Discover how to solve the linear equation 418.9x = 4.189 with step-by-step guidance. This problem introduces key algebraic concepts like solving equations with decimals, perfect for students in Grades 6-8.

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