Finding the Fourth Proportional to 566, 849.12 and 306
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Solution
The fourth proportional to 566, 849.12 and 306 is: 459.06
Step by Step Solution
- Step 1: Write the proportion equation
566 : 849.12 = 306 : x - Step 2: Convert to fraction form
566/849.12 = 306/x - Step 3: Cross multiply
566x = 849.12 × 306 - Step 4: Simplify right side
566x = 259,830.72 - Step 5: Solve for x
x = 259,830.72/566 - Step 6: Final answer
x = 459.06
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.