Finding the Fourth Proportional to 288.96, 430.14 and 284.64
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Solution
The fourth proportional to 288.96, 430.14 and 284.64 is: 423.71
Step by Step Solution
- Step 1: Write the proportion equation
288.96 : 430.14 = 284.64 : x - Step 2: Convert to fraction form
288.96/430.14 = 284.64/x - Step 3: Cross multiply
288.96x = 430.14 × 284.64 - Step 4: Simplify right side
288.96x = 122,435.05 - Step 5: Solve for x
x = 122,435.05/288.96 - Step 6: Final answer
x = 423.71
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.