Finding the Fourth Proportional to 297, 445.64 and 243
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Solution
The fourth proportional to 297, 445.64 and 243 is: 364.61
Step by Step Solution
- Step 1: Write the proportion equation
297 : 445.64 = 243 : x - Step 2: Convert to fraction form
297/445.64 = 243/x - Step 3: Cross multiply
297x = 445.64 × 243 - Step 4: Simplify right side
297x = 108,289.31 - Step 5: Solve for x
x = 108,289.31/297 - Step 6: Final answer
x = 364.61
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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.