Finding the Fourth Proportional to 497.69, 746.53 and 423.88
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Solution
The fourth proportional to 497.69, 746.53 and 423.88 is: 635.82
Step by Step Solution
- Step 1: Write the proportion equation
497.69 : 746.53 = 423.88 : x - Step 2: Convert to fraction form
497.69/746.53 = 423.88/x - Step 3: Cross multiply
497.69x = 746.53 × 423.88 - Step 4: Simplify right side
497.69x = 316,439.14 - Step 5: Solve for x
x = 316,439.14/497.69 - Step 6: Final answer
x = 635.82
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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.