Finding the Fourth Proportional to 420.10, 629.95 and 214.63
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Solution
The fourth proportional to 420.10, 629.95 and 214.63 is: 321.84
Step by Step Solution
- Step 1: Write the proportion equation
420.10 : 629.95 = 214.63 : x - Step 2: Convert to fraction form
420.10/629.95 = 214.63/x - Step 3: Cross multiply
420.10x = 629.95 × 214.63 - Step 4: Simplify right side
420.10x = 135,206.17 - Step 5: Solve for x
x = 135,206.17/420.10 - Step 6: Final answer
x = 321.84
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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.