Finding the Fourth Proportional to 357.34, 493.09 and 209.99
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Solution
The fourth proportional to 357.34, 493.09 and 209.99 is: 289.76
Step by Step Solution
- Step 1: Write the proportion equation
357.34 : 493.09 = 209.99 : x - Step 2: Convert to fraction form
357.34/493.09 = 209.99/x - Step 3: Cross multiply
357.34x = 493.09 × 209.99 - Step 4: Simplify right side
357.34x = 103,543.97 - Step 5: Solve for x
x = 103,543.97/357.34 - Step 6: Final answer
x = 289.76
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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.