Finding the Fourth Proportional to 314.76, 474 and 274.65
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Solution
The fourth proportional to 314.76, 474 and 274.65 is: 413.60
Step by Step Solution
- Step 1: Write the proportion equation
314.76 : 474 = 274.65 : x - Step 2: Convert to fraction form
314.76/474 = 274.65/x - Step 3: Cross multiply
314.76x = 474 × 274.65 - Step 4: Simplify right side
314.76x = 130,184.10 - Step 5: Solve for x
x = 130,184.10/314.76 - Step 6: Final answer
x = 413.60
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.