Finding the Fourth Proportional to 490, 676 and 280.12
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Solution
The fourth proportional to 490, 676 and 280.12 is: 386.45
Step by Step Solution
- Step 1: Write the proportion equation
490 : 676 = 280.12 : x - Step 2: Convert to fraction form
490/676 = 280.12/x - Step 3: Cross multiply
490x = 676 × 280.12 - Step 4: Simplify right side
490x = 189,361.12 - Step 5: Solve for x
x = 189,361.12/490 - Step 6: Final answer
x = 386.45
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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.