Finding the Fourth Proportional to 811, 1,216.50 and 298
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Solution
The fourth proportional to 811, 1,216.50 and 298 is: 447
Step by Step Solution
- Step 1: Write the proportion equation
811 : 1,216.50 = 298 : x - Step 2: Convert to fraction form
811/1,216.50 = 298/x - Step 3: Cross multiply
811x = 1,216.50 × 298 - Step 4: Simplify right side
811x = 362,517 - Step 5: Solve for x
x = 362,517/811 - Step 6: Final answer
x = 447
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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.