Finding the Fourth Proportional to 343.64, 513.10 and 282.88
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Solution
The fourth proportional to 343.64, 513.10 and 282.88 is: 422.38
Step by Step Solution
- Step 1: Write the proportion equation
343.64 : 513.10 = 282.88 : x - Step 2: Convert to fraction form
343.64/513.10 = 282.88/x - Step 3: Cross multiply
343.64x = 513.10 × 282.88 - Step 4: Simplify right side
343.64x = 145,145.73 - Step 5: Solve for x
x = 145,145.73/343.64 - Step 6: Final answer
x = 422.38
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.