Finding the Fourth Proportional to 292.16, 438.22 and 275.24
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Solution
The fourth proportional to 292.16, 438.22 and 275.24 is: 412.84
Step by Step Solution
- Step 1: Write the proportion equation
292.16 : 438.22 = 275.24 : x - Step 2: Convert to fraction form
292.16/438.22 = 275.24/x - Step 3: Cross multiply
292.16x = 438.22 × 275.24 - Step 4: Simplify right side
292.16x = 120,615.67 - Step 5: Solve for x
x = 120,615.67/292.16 - Step 6: Final answer
x = 412.84
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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.