Finding the Fourth Proportional to 597.69, 896.54 and 164.84
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Solution
The fourth proportional to 597.69, 896.54 and 164.84 is: 247.25
Step by Step Solution
- Step 1: Write the proportion equation
597.69 : 896.54 = 164.84 : x - Step 2: Convert to fraction form
597.69/896.54 = 164.84/x - Step 3: Cross multiply
597.69x = 896.54 × 164.84 - Step 4: Simplify right side
597.69x = 147,780.35 - Step 5: Solve for x
x = 147,780.35/597.69 - Step 6: Final answer
x = 247.25
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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.