Finding the Fourth Proportional to 382.82, 573.83 and 218.09
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Solution
The fourth proportional to 382.82, 573.83 and 218.09 is: 326.90
Step by Step Solution
- Step 1: Write the proportion equation
382.82 : 573.83 = 218.09 : x - Step 2: Convert to fraction form
382.82/573.83 = 218.09/x - Step 3: Cross multiply
382.82x = 573.83 × 218.09 - Step 4: Simplify right side
382.82x = 125,142.63 - Step 5: Solve for x
x = 125,142.63/382.82 - Step 6: Final answer
x = 326.90
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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.