Finding the Fourth Proportional to 442.45, 663.77 and 280
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Solution
The fourth proportional to 442.45, 663.77 and 280 is: 420.06
Step by Step Solution
- Step 1: Write the proportion equation
442.45 : 663.77 = 280 : x - Step 2: Convert to fraction form
442.45/663.77 = 280/x - Step 3: Cross multiply
442.45x = 663.77 × 280 - Step 4: Simplify right side
442.45x = 185,855.60 - Step 5: Solve for x
x = 185,855.60/442.45 - Step 6: Final answer
x = 420.06
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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.