Finding the Fourth Proportional to 497.37, 685.74 and 408.54
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Solution
The fourth proportional to 497.37, 685.74 and 408.54 is: 563.27
Step by Step Solution
- Step 1: Write the proportion equation
497.37 : 685.74 = 408.54 : x - Step 2: Convert to fraction form
497.37/685.74 = 408.54/x - Step 3: Cross multiply
497.37x = 685.74 × 408.54 - Step 4: Simplify right side
497.37x = 280,152.22 - Step 5: Solve for x
x = 280,152.22/497.37 - Step 6: Final answer
x = 563.27
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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.