Finding the Fourth Proportional to 392.08, 588.48 and 199.84
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Solution
The fourth proportional to 392.08, 588.48 and 199.84 is: 299.94
Step by Step Solution
- Step 1: Write the proportion equation
392.08 : 588.48 = 199.84 : x - Step 2: Convert to fraction form
392.08/588.48 = 199.84/x - Step 3: Cross multiply
392.08x = 588.48 × 199.84 - Step 4: Simplify right side
392.08x = 117,601.84 - Step 5: Solve for x
x = 117,601.84/392.08 - Step 6: Final answer
x = 299.94
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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.