Finding the Fourth Proportional to 349.40, 523.34 and 253
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Solution
The fourth proportional to 349.40, 523.34 and 253 is: 378.95
Step by Step Solution
- Step 1: Write the proportion equation
349.40 : 523.34 = 253 : x - Step 2: Convert to fraction form
349.40/523.34 = 253/x - Step 3: Cross multiply
349.40x = 523.34 × 253 - Step 4: Simplify right side
349.40x = 132,405.02 - Step 5: Solve for x
x = 132,405.02/349.40 - Step 6: Final answer
x = 378.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.