Finding the Fourth Proportional to 853.52, 1,280 and 276.26
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Solution
The fourth proportional to 853.52, 1,280 and 276.26 is: 414.30
Step by Step Solution
- Step 1: Write the proportion equation
853.52 : 1,280 = 276.26 : x - Step 2: Convert to fraction form
853.52/1,280 = 276.26/x - Step 3: Cross multiply
853.52x = 1,280 × 276.26 - Step 4: Simplify right side
853.52x = 353,612.80 - Step 5: Solve for x
x = 353,612.80/853.52 - Step 6: Final answer
x = 414.30
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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.