Finding the Fourth Proportional to 578.14, 865.10 and 497.94
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Solution
The fourth proportional to 578.14, 865.10 and 497.94 is: 745.09
Step by Step Solution
- Step 1: Write the proportion equation
578.14 : 865.10 = 497.94 : x - Step 2: Convert to fraction form
578.14/865.10 = 497.94/x - Step 3: Cross multiply
578.14x = 865.10 × 497.94 - Step 4: Simplify right side
578.14x = 430,767.89 - Step 5: Solve for x
x = 430,767.89/578.14 - Step 6: Final answer
x = 745.09
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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.