Finding the Fourth Proportional to 311.32, 430.16 and 256.02
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Solution
The fourth proportional to 311.32, 430.16 and 256.02 is: 353.75
Step by Step Solution
- Step 1: Write the proportion equation
311.32 : 430.16 = 256.02 : x - Step 2: Convert to fraction form
311.32/430.16 = 256.02/x - Step 3: Cross multiply
311.32x = 430.16 × 256.02 - Step 4: Simplify right side
311.32x = 110,129.56 - Step 5: Solve for x
x = 110,129.56/311.32 - Step 6: Final answer
x = 353.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.