Finding the Fourth Proportional to 285.72, 428.04 and 240
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Solution
The fourth proportional to 285.72, 428.04 and 240 is: 359.55
Step by Step Solution
- Step 1: Write the proportion equation
285.72 : 428.04 = 240 : x - Step 2: Convert to fraction form
285.72/428.04 = 240/x - Step 3: Cross multiply
285.72x = 428.04 × 240 - Step 4: Simplify right side
285.72x = 102,729.60 - Step 5: Solve for x
x = 102,729.60/285.72 - Step 6: Final answer
x = 359.55
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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.