Finding the Fourth Proportional to 343.74, 473.15 and 300
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Solution
The fourth proportional to 343.74, 473.15 and 300 is: 412.94
Step by Step Solution
- Step 1: Write the proportion equation
343.74 : 473.15 = 300 : x - Step 2: Convert to fraction form
343.74/473.15 = 300/x - Step 3: Cross multiply
343.74x = 473.15 × 300 - Step 4: Simplify right side
343.74x = 141,943.50 - Step 5: Solve for x
x = 141,943.50/343.74 - Step 6: Final answer
x = 412.94
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.