Finding the Fourth Proportional to 540.40, 809.16 and 323.68
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Solution
The fourth proportional to 540.40, 809.16 and 323.68 is: 484.66
Step by Step Solution
- Step 1: Write the proportion equation
540.40 : 809.16 = 323.68 : x - Step 2: Convert to fraction form
540.40/809.16 = 323.68/x - Step 3: Cross multiply
540.40x = 809.16 × 323.68 - Step 4: Simplify right side
540.40x = 261,908.91 - Step 5: Solve for x
x = 261,908.91/540.40 - Step 6: Final answer
x = 484.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.