Finding the Fourth Proportional to 974, 1,461 and 290
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Solution
The fourth proportional to 974, 1,461 and 290 is: 435
Step by Step Solution
- Step 1: Write the proportion equation
974 : 1,461 = 290 : x - Step 2: Convert to fraction form
974/1,461 = 290/x - Step 3: Cross multiply
974x = 1,461 × 290 - Step 4: Simplify right side
974x = 423,690 - Step 5: Solve for x
x = 423,690/974 - Step 6: Final answer
x = 435
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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.