Finding the Fourth Proportional to 578.41, 867.66 and 183.04
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Solution
The fourth proportional to 578.41, 867.66 and 183.04 is: 274.57
Step by Step Solution
- Step 1: Write the proportion equation
578.41 : 867.66 = 183.04 : x - Step 2: Convert to fraction form
578.41/867.66 = 183.04/x - Step 3: Cross multiply
578.41x = 867.66 × 183.04 - Step 4: Simplify right side
578.41x = 158,816.49 - Step 5: Solve for x
x = 158,816.49/578.41 - Step 6: Final answer
x = 274.57
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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.