Finding the Fourth Proportional to 564.46, 846.78 and 275.92
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Solution
The fourth proportional to 564.46, 846.78 and 275.92 is: 413.92
Step by Step Solution
- Step 1: Write the proportion equation
564.46 : 846.78 = 275.92 : x - Step 2: Convert to fraction form
564.46/846.78 = 275.92/x - Step 3: Cross multiply
564.46x = 846.78 × 275.92 - Step 4: Simplify right side
564.46x = 233,643.54 - Step 5: Solve for x
x = 233,643.54/564.46 - Step 6: Final answer
x = 413.92
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.