Finding the Fourth Proportional to 512.91, 707.82 and 280.04
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Solution
The fourth proportional to 512.91, 707.82 and 280.04 is: 386.45
Step by Step Solution
- Step 1: Write the proportion equation
512.91 : 707.82 = 280.04 : x - Step 2: Convert to fraction form
512.91/707.82 = 280.04/x - Step 3: Cross multiply
512.91x = 707.82 × 280.04 - Step 4: Simplify right side
512.91x = 198,214.37 - Step 5: Solve for x
x = 198,214.37/512.91 - Step 6: Final answer
x = 386.45
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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.