Finding the Fourth Proportional to 547.08, 820 and 438.64
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Solution
The fourth proportional to 547.08, 820 and 438.64 is: 657.46
Step by Step Solution
- Step 1: Write the proportion equation
547.08 : 820 = 438.64 : x - Step 2: Convert to fraction form
547.08/820 = 438.64/x - Step 3: Cross multiply
547.08x = 820 × 438.64 - Step 4: Simplify right side
547.08x = 359,684.80 - Step 5: Solve for x
x = 359,684.80/547.08 - Step 6: Final answer
x = 657.46
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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.