Finding the Fourth Proportional to 310.96, 429.39 and 213
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Solution
The fourth proportional to 310.96, 429.39 and 213 is: 294.12
Step by Step Solution
- Step 1: Write the proportion equation
310.96 : 429.39 = 213 : x - Step 2: Convert to fraction form
310.96/429.39 = 213/x - Step 3: Cross multiply
310.96x = 429.39 × 213 - Step 4: Simplify right side
310.96x = 91,460.07 - Step 5: Solve for x
x = 91,460.07/310.96 - Step 6: Final answer
x = 294.12
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.