Finding the Fourth Proportional to 857.28, 1,286.08 and 280.56
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Solution
The fourth proportional to 857.28, 1,286.08 and 280.56 is: 420.89
Step by Step Solution
- Step 1: Write the proportion equation
857.28 : 1,286.08 = 280.56 : x - Step 2: Convert to fraction form
857.28/1,286.08 = 280.56/x - Step 3: Cross multiply
857.28x = 1,286.08 × 280.56 - Step 4: Simplify right side
857.28x = 360,822.60 - Step 5: Solve for x
x = 360,822.60/857.28 - Step 6: Final answer
x = 420.89
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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.