Finding the Fourth Proportional to 419.79, 629.72 and 185.70
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Solution
The fourth proportional to 419.79, 629.72 and 185.70 is: 278.57
Step by Step Solution
- Step 1: Write the proportion equation
419.79 : 629.72 = 185.70 : x - Step 2: Convert to fraction form
419.79/629.72 = 185.70/x - Step 3: Cross multiply
419.79x = 629.72 × 185.70 - Step 4: Simplify right side
419.79x = 116,939.47 - Step 5: Solve for x
x = 116,939.47/419.79 - Step 6: Final answer
x = 278.57
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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.