Finding the Fourth Proportional to 490.14, 734.82 and 201.36
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Solution
The fourth proportional to 490.14, 734.82 and 201.36 is: 301.88
Step by Step Solution
- Step 1: Write the proportion equation
490.14 : 734.82 = 201.36 : x - Step 2: Convert to fraction form
490.14/734.82 = 201.36/x - Step 3: Cross multiply
490.14x = 734.82 × 201.36 - Step 4: Simplify right side
490.14x = 147,963.36 - Step 5: Solve for x
x = 147,963.36/490.14 - Step 6: Final answer
x = 301.88
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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.