Finding the Fourth Proportional to 506.47, 698.46 and 319.64
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Solution
The fourth proportional to 506.47, 698.46 and 319.64 is: 440.80
Step by Step Solution
- Step 1: Write the proportion equation
506.47 : 698.46 = 319.64 : x - Step 2: Convert to fraction form
506.47/698.46 = 319.64/x - Step 3: Cross multiply
506.47x = 698.46 × 319.64 - Step 4: Simplify right side
506.47x = 223,252.26 - Step 5: Solve for x
x = 223,252.26/506.47 - Step 6: Final answer
x = 440.80
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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.