Finding the Fourth Proportional to 414.63, 622.01 and 126
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Solution
The fourth proportional to 414.63, 622.01 and 126 is: 189.02
Step by Step Solution
- Step 1: Write the proportion equation
414.63 : 622.01 = 126 : x - Step 2: Convert to fraction form
414.63/622.01 = 126/x - Step 3: Cross multiply
414.63x = 622.01 × 126 - Step 4: Simplify right side
414.63x = 78,373.58 - Step 5: Solve for x
x = 78,373.58/414.63 - Step 6: Final answer
x = 189.02
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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.