Finding the Fourth Proportional to 505.86, 697.46 and 421.88
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Solution
The fourth proportional to 505.86, 697.46 and 421.88 is: 581.66
Step by Step Solution
- Step 1: Write the proportion equation
505.86 : 697.46 = 421.88 : x - Step 2: Convert to fraction form
505.86/697.46 = 421.88/x - Step 3: Cross multiply
505.86x = 697.46 × 421.88 - Step 4: Simplify right side
505.86x = 294,241.20 - Step 5: Solve for x
x = 294,241.20/505.86 - Step 6: Final answer
x = 581.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.