Finding the Fourth Proportional to 589.32, 811.98 and 423
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Solution
The fourth proportional to 589.32, 811.98 and 423 is: 582.82
Step by Step Solution
- Step 1: Write the proportion equation
589.32 : 811.98 = 423 : x - Step 2: Convert to fraction form
589.32/811.98 = 423/x - Step 3: Cross multiply
589.32x = 811.98 × 423 - Step 4: Simplify right side
589.32x = 343,467.54 - Step 5: Solve for x
x = 343,467.54/589.32 - Step 6: Final answer
x = 582.82
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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.