Finding the Fourth Proportional to 497.12, 740 and 489.84
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Solution
The fourth proportional to 497.12, 740 and 489.84 is: 729.16
Step by Step Solution
- Step 1: Write the proportion equation
497.12 : 740 = 489.84 : x - Step 2: Convert to fraction form
497.12/740 = 489.84/x - Step 3: Cross multiply
497.12x = 740 × 489.84 - Step 4: Simplify right side
497.12x = 362,481.60 - Step 5: Solve for x
x = 362,481.60/497.12 - Step 6: Final answer
x = 729.16
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.