Finding the Fourth Proportional to 305.70, 457.75 and 202.67
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Solution
The fourth proportional to 305.70, 457.75 and 202.67 is: 303.48
Step by Step Solution
- Step 1: Write the proportion equation
305.70 : 457.75 = 202.67 : x - Step 2: Convert to fraction form
305.70/457.75 = 202.67/x - Step 3: Cross multiply
305.70x = 457.75 × 202.67 - Step 4: Simplify right side
305.70x = 92,771.87 - Step 5: Solve for x
x = 92,771.87/305.70 - Step 6: Final answer
x = 303.48
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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.