Finding the Fourth Proportional to 546.24, 819.04 and 203.84
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Solution
The fourth proportional to 546.24, 819.04 and 203.84 is: 305.64
Step by Step Solution
- Step 1: Write the proportion equation
546.24 : 819.04 = 203.84 : x - Step 2: Convert to fraction form
546.24/819.04 = 203.84/x - Step 3: Cross multiply
546.24x = 819.04 × 203.84 - Step 4: Simplify right side
546.24x = 166,953.11 - Step 5: Solve for x
x = 166,953.11/546.24 - Step 6: Final answer
x = 305.64
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.