Finding the Fourth Proportional to 459.18, 689.67 and 442.26
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Solution
The fourth proportional to 459.18, 689.67 and 442.26 is: 664.26
Step by Step Solution
- Step 1: Write the proportion equation
459.18 : 689.67 = 442.26 : x - Step 2: Convert to fraction form
459.18/689.67 = 442.26/x - Step 3: Cross multiply
459.18x = 689.67 × 442.26 - Step 4: Simplify right side
459.18x = 305,013.45 - Step 5: Solve for x
x = 305,013.45/459.18 - Step 6: Final answer
x = 664.26
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.