Finding the Fourth Proportional to 541.68, 813 and 281.87
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Solution
The fourth proportional to 541.68, 813 and 281.87 is: 423.05
Step by Step Solution
- Step 1: Write the proportion equation
541.68 : 813 = 281.87 : x - Step 2: Convert to fraction form
541.68/813 = 281.87/x - Step 3: Cross multiply
541.68x = 813 × 281.87 - Step 4: Simplify right side
541.68x = 229,156.25 - Step 5: Solve for x
x = 229,156.25/541.68 - Step 6: Final answer
x = 423.05
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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.