Finding the Fourth Proportional to 993, 1,489.58 and 309
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Solution
The fourth proportional to 993, 1,489.58 and 309 is: 463.52
Step by Step Solution
- Step 1: Write the proportion equation
993 : 1,489.58 = 309 : x - Step 2: Convert to fraction form
993/1,489.58 = 309/x - Step 3: Cross multiply
993x = 1,489.58 × 309 - Step 4: Simplify right side
993x = 460,280.22 - Step 5: Solve for x
x = 460,280.22/993 - Step 6: Final answer
x = 463.52
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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.