Finding the Fourth Proportional to 397.31, 595.96 and 153.77
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Solution
The fourth proportional to 397.31, 595.96 and 153.77 is: 230.66
Step by Step Solution
- Step 1: Write the proportion equation
397.31 : 595.96 = 153.77 : x - Step 2: Convert to fraction form
397.31/595.96 = 153.77/x - Step 3: Cross multiply
397.31x = 595.96 × 153.77 - Step 4: Simplify right side
397.31x = 91,642.43 - Step 5: Solve for x
x = 91,642.43/397.31 - Step 6: Final answer
x = 230.66
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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.