Finding the Fourth Proportional to 309.92, 427.75 and 280.08
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Solution
The fourth proportional to 309.92, 427.75 and 280.08 is: 386.57
Step by Step Solution
- Step 1: Write the proportion equation
309.92 : 427.75 = 280.08 : x - Step 2: Convert to fraction form
309.92/427.75 = 280.08/x - Step 3: Cross multiply
309.92x = 427.75 × 280.08 - Step 4: Simplify right side
309.92x = 119,803.52 - Step 5: Solve for x
x = 119,803.52/309.92 - Step 6: Final answer
x = 386.57
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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.