Finding the Fourth Proportional to 422.88, 580 and 415.84
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Solution
The fourth proportional to 422.88, 580 and 415.84 is: 570.34
Step by Step Solution
- Step 1: Write the proportion equation
422.88 : 580 = 415.84 : x - Step 2: Convert to fraction form
422.88/580 = 415.84/x - Step 3: Cross multiply
422.88x = 580 × 415.84 - Step 4: Simplify right side
422.88x = 241,187.20 - Step 5: Solve for x
x = 241,187.20/422.88 - Step 6: Final answer
x = 570.34
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.