Finding the Fourth Proportional to 457.14, 681.81 and 415.83
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Solution
The fourth proportional to 457.14, 681.81 and 415.83 is: 620.20
Step by Step Solution
- Step 1: Write the proportion equation
457.14 : 681.81 = 415.83 : x - Step 2: Convert to fraction form
457.14/681.81 = 415.83/x - Step 3: Cross multiply
457.14x = 681.81 × 415.83 - Step 4: Simplify right side
457.14x = 283,517.05 - Step 5: Solve for x
x = 283,517.05/457.14 - Step 6: Final answer
x = 620.20
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.