Finding the Fourth Proportional to 493.38, 739.94 and 204.75
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Solution
The fourth proportional to 493.38, 739.94 and 204.75 is: 307.07
Step by Step Solution
- Step 1: Write the proportion equation
493.38 : 739.94 = 204.75 : x - Step 2: Convert to fraction form
493.38/739.94 = 204.75/x - Step 3: Cross multiply
493.38x = 739.94 × 204.75 - Step 4: Simplify right side
493.38x = 151,501.69 - Step 5: Solve for x
x = 151,501.69/493.38 - Step 6: Final answer
x = 307.07
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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.