Finding the Fourth Proportional to 385.91, 578.87 and 142.38
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Solution
The fourth proportional to 385.91, 578.87 and 142.38 is: 213.57
Step by Step Solution
- Step 1: Write the proportion equation
385.91 : 578.87 = 142.38 : x - Step 2: Convert to fraction form
385.91/578.87 = 142.38/x - Step 3: Cross multiply
385.91x = 578.87 × 142.38 - Step 4: Simplify right side
385.91x = 82,421.36 - Step 5: Solve for x
x = 82,421.36/385.91 - Step 6: Final answer
x = 213.57
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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.