Finding the Fourth Proportional to 279.72, 419.60 and 74.29
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Solution
The fourth proportional to 279.72, 419.60 and 74.29 is: 111.44
Step by Step Solution
- Step 1: Write the proportion equation
279.72 : 419.60 = 74.29 : x - Step 2: Convert to fraction form
279.72/419.60 = 74.29/x - Step 3: Cross multiply
279.72x = 419.60 × 74.29 - Step 4: Simplify right side
279.72x = 31,170.94 - Step 5: Solve for x
x = 31,170.94/279.72 - Step 6: Final answer
x = 111.44
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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.