Finding the Fourth Proportional to 409.94, 565.44 and 322.46
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Solution
The fourth proportional to 409.94, 565.44 and 322.46 is: 444.78
Step by Step Solution
- Step 1: Write the proportion equation
409.94 : 565.44 = 322.46 : x - Step 2: Convert to fraction form
409.94/565.44 = 322.46/x - Step 3: Cross multiply
409.94x = 565.44 × 322.46 - Step 4: Simplify right side
409.94x = 182,331.78 - Step 5: Solve for x
x = 182,331.78/409.94 - Step 6: Final answer
x = 444.78
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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.