Finding the Fourth Proportional to 447.04, 615.84 and 420
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Solution
The fourth proportional to 447.04, 615.84 and 420 is: 578.59
Step by Step Solution
- Step 1: Write the proportion equation
447.04 : 615.84 = 420 : x - Step 2: Convert to fraction form
447.04/615.84 = 420/x - Step 3: Cross multiply
447.04x = 615.84 × 420 - Step 4: Simplify right side
447.04x = 258,652.80 - Step 5: Solve for x
x = 258,652.80/447.04 - Step 6: Final answer
x = 578.59
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.