Finding the Fourth Proportional to 498.78, 747.75 and 306
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Solution
The fourth proportional to 498.78, 747.75 and 306 is: 458.74
Step by Step Solution
- Step 1: Write the proportion equation
498.78 : 747.75 = 306 : x - Step 2: Convert to fraction form
498.78/747.75 = 306/x - Step 3: Cross multiply
498.78x = 747.75 × 306 - Step 4: Simplify right side
498.78x = 228,811.50 - Step 5: Solve for x
x = 228,811.50/498.78 - Step 6: Final answer
x = 458.74
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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.