Finding the Fourth Proportional to 385.69, 578.54 and 284.17
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Solution
The fourth proportional to 385.69, 578.54 and 284.17 is: 426.26
Step by Step Solution
- Step 1: Write the proportion equation
385.69 : 578.54 = 284.17 : x - Step 2: Convert to fraction form
385.69/578.54 = 284.17/x - Step 3: Cross multiply
385.69x = 578.54 × 284.17 - Step 4: Simplify right side
385.69x = 164,403.71 - Step 5: Solve for x
x = 164,403.71/385.69 - Step 6: Final answer
x = 426.26
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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.