Finding the Fourth Proportional to 416.86, 623.80 and 287
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Solution
The fourth proportional to 416.86, 623.80 and 287 is: 429.47
Step by Step Solution
- Step 1: Write the proportion equation
416.86 : 623.80 = 287 : x - Step 2: Convert to fraction form
416.86/623.80 = 287/x - Step 3: Cross multiply
416.86x = 623.80 × 287 - Step 4: Simplify right side
416.86x = 179,030.60 - Step 5: Solve for x
x = 179,030.60/416.86 - Step 6: Final answer
x = 429.47
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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.