Finding the Fourth Proportional to 295.40, 442.82 and 263
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Solution
The fourth proportional to 295.40, 442.82 and 263 is: 394.25
Step by Step Solution
- Step 1: Write the proportion equation
295.40 : 442.82 = 263 : x - Step 2: Convert to fraction form
295.40/442.82 = 263/x - Step 3: Cross multiply
295.40x = 442.82 × 263 - Step 4: Simplify right side
295.40x = 116,461.66 - Step 5: Solve for x
x = 116,461.66/295.40 - Step 6: Final answer
x = 394.25
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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.