Finding the Fourth Proportional to 580.82, 800.74 and 456
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Solution
The fourth proportional to 580.82, 800.74 and 456 is: 628.66
Step by Step Solution
- Step 1: Write the proportion equation
580.82 : 800.74 = 456 : x - Step 2: Convert to fraction form
580.82/800.74 = 456/x - Step 3: Cross multiply
580.82x = 800.74 × 456 - Step 4: Simplify right side
580.82x = 365,137.44 - Step 5: Solve for x
x = 365,137.44/580.82 - Step 6: Final answer
x = 628.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.