Finding the Fourth Proportional to 596.18, 894.08 and 413.02
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Solution
The fourth proportional to 596.18, 894.08 and 413.02 is: 619.39
Step by Step Solution
- Step 1: Write the proportion equation
596.18 : 894.08 = 413.02 : x - Step 2: Convert to fraction form
596.18/894.08 = 413.02/x - Step 3: Cross multiply
596.18x = 894.08 × 413.02 - Step 4: Simplify right side
596.18x = 369,267.14 - Step 5: Solve for x
x = 369,267.14/596.18 - Step 6: Final answer
x = 619.39
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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.