Finding the Fourth Proportional to 496.80, 745.45 and 204.53
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Solution
The fourth proportional to 496.80, 745.45 and 204.53 is: 306.89
Step by Step Solution
- Step 1: Write the proportion equation
496.80 : 745.45 = 204.53 : x - Step 2: Convert to fraction form
496.80/745.45 = 204.53/x - Step 3: Cross multiply
496.80x = 745.45 × 204.53 - Step 4: Simplify right side
496.80x = 152,463.80 - Step 5: Solve for x
x = 152,463.80/496.80 - Step 6: Final answer
x = 306.89
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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.