Finding the Fourth Proportional to 379.68, 569.16 and 294
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Solution
The fourth proportional to 379.68, 569.16 and 294 is: 440.72
Step by Step Solution
- Step 1: Write the proportion equation
379.68 : 569.16 = 294 : x - Step 2: Convert to fraction form
379.68/569.16 = 294/x - Step 3: Cross multiply
379.68x = 569.16 × 294 - Step 4: Simplify right side
379.68x = 167,333.04 - Step 5: Solve for x
x = 167,333.04/379.68 - Step 6: Final answer
x = 440.72
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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.