Finding the Fourth Proportional to 468, 645.84 and 284
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Solution
The fourth proportional to 468, 645.84 and 284 is: 391.92
Step by Step Solution
- Step 1: Write the proportion equation
468 : 645.84 = 284 : x - Step 2: Convert to fraction form
468/645.84 = 284/x - Step 3: Cross multiply
468x = 645.84 × 284 - Step 4: Simplify right side
468x = 183,418.56 - Step 5: Solve for x
x = 183,418.56/468 - Step 6: Final answer
x = 391.92
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.