Finding the Fourth Proportional to 469.76, 704 and 378.24
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Solution
The fourth proportional to 469.76, 704 and 378.24 is: 566.84
Step by Step Solution
- Step 1: Write the proportion equation
469.76 : 704 = 378.24 : x - Step 2: Convert to fraction form
469.76/704 = 378.24/x - Step 3: Cross multiply
469.76x = 704 × 378.24 - Step 4: Simplify right side
469.76x = 266,280.96 - Step 5: Solve for x
x = 266,280.96/469.76 - Step 6: Final answer
x = 566.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.