Finding the Fourth Proportional to 284.80, 424.31 and 271
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Solution
The fourth proportional to 284.80, 424.31 and 271 is: 403.75
Step by Step Solution
- Step 1: Write the proportion equation
284.80 : 424.31 = 271 : x - Step 2: Convert to fraction form
284.80/424.31 = 271/x - Step 3: Cross multiply
284.80x = 424.31 × 271 - Step 4: Simplify right side
284.80x = 114,988.01 - Step 5: Solve for x
x = 114,988.01/284.80 - Step 6: Final answer
x = 403.75
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.