Finding the Fourth Proportional to 546.14, 819.76 and 392.24
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Solution
The fourth proportional to 546.14, 819.76 and 392.24 is: 588.76
Step by Step Solution
- Step 1: Write the proportion equation
546.14 : 819.76 = 392.24 : x - Step 2: Convert to fraction form
546.14/819.76 = 392.24/x - Step 3: Cross multiply
546.14x = 819.76 × 392.24 - Step 4: Simplify right side
546.14x = 321,542.66 - Step 5: Solve for x
x = 321,542.66/546.14 - Step 6: Final answer
x = 588.76
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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.