Finding the Fourth Proportional to 430.46, 592.20 and 380.42
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Solution
The fourth proportional to 430.46, 592.20 and 380.42 is: 523.36
Step by Step Solution
- Step 1: Write the proportion equation
430.46 : 592.20 = 380.42 : x - Step 2: Convert to fraction form
430.46/592.20 = 380.42/x - Step 3: Cross multiply
430.46x = 592.20 × 380.42 - Step 4: Simplify right side
430.46x = 225,284.72 - Step 5: Solve for x
x = 225,284.72/430.46 - Step 6: Final answer
x = 523.36
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.