Finding the Fourth Proportional to 432.42, 648 and 200.76
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Solution
The fourth proportional to 432.42, 648 and 200.76 is: 300.84
Step by Step Solution
- Step 1: Write the proportion equation
432.42 : 648 = 200.76 : x - Step 2: Convert to fraction form
432.42/648 = 200.76/x - Step 3: Cross multiply
432.42x = 648 × 200.76 - Step 4: Simplify right side
432.42x = 130,090.05 - Step 5: Solve for x
x = 130,090.05/432.42 - Step 6: Final answer
x = 300.84
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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.