Finding the Fourth Proportional to 428.76, 642.27 and 342.24
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Solution
The fourth proportional to 428.76, 642.27 and 342.24 is: 512.67
Step by Step Solution
- Step 1: Write the proportion equation
428.76 : 642.27 = 342.24 : x - Step 2: Convert to fraction form
428.76/642.27 = 342.24/x - Step 3: Cross multiply
428.76x = 642.27 × 342.24 - Step 4: Simplify right side
428.76x = 219,810.48 - Step 5: Solve for x
x = 219,810.48/428.76 - Step 6: Final answer
x = 512.67
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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.