Finding the Fourth Proportional to 279.80, 413.84 and 279.80
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Solution
The fourth proportional to 279.80, 413.84 and 279.80 is: 413.84
Step by Step Solution
- Step 1: Write the proportion equation
279.80 : 413.84 = 279.80 : x - Step 2: Convert to fraction form
279.80/413.84 = 279.80/x - Step 3: Cross multiply
279.80x = 413.84 × 279.80 - Step 4: Simplify right side
279.80x = 115,792.43 - Step 5: Solve for x
x = 115,792.43/279.80 - Step 6: Final answer
x = 413.84
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.