Finding the Fourth Proportional to 427.50, 641.25 and 199.50
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Solution
The fourth proportional to 427.50, 641.25 and 199.50 is: 299.25
Step by Step Solution
- Step 1: Write the proportion equation
427.50 : 641.25 = 199.50 : x - Step 2: Convert to fraction form
427.50/641.25 = 199.50/x - Step 3: Cross multiply
427.50x = 641.25 × 199.50 - Step 4: Simplify right side
427.50x = 127,929.38 - Step 5: Solve for x
x = 127,929.38/427.50 - Step 6: Final answer
x = 299.25
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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.