Finding the Fourth Proportional to 563.78, 846 and 198.87
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Solution
The fourth proportional to 563.78, 846 and 198.87 is: 298.42
Step by Step Solution
- Step 1: Write the proportion equation
563.78 : 846 = 198.87 : x - Step 2: Convert to fraction form
563.78/846 = 198.87/x - Step 3: Cross multiply
563.78x = 846 × 198.87 - Step 4: Simplify right side
563.78x = 168,244.02 - Step 5: Solve for x
x = 168,244.02/563.78 - Step 6: Final answer
x = 298.42
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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.