Finding the Fourth Proportional to 299.10, 412.47 and 233.58
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Solution
The fourth proportional to 299.10, 412.47 and 233.58 is: 322.12
Step by Step Solution
- Step 1: Write the proportion equation
299.10 : 412.47 = 233.58 : x - Step 2: Convert to fraction form
299.10/412.47 = 233.58/x - Step 3: Cross multiply
299.10x = 412.47 × 233.58 - Step 4: Simplify right side
299.10x = 96,344.74 - Step 5: Solve for x
x = 96,344.74/299.10 - Step 6: Final answer
x = 322.12
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.