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Finding the Fourth Proportional to 662.50, 994.20 and 277.75

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Solution

The fourth proportional to 662.50, 994.20 and 277.75 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.50 : 994.20 = 277.75 : x
  2. Step 2: Convert to fraction form
    662.50/994.20 = 277.75/x
  3. Step 3: Cross multiply
    662.50x = 994.20 × 277.75
  4. Step 4: Simplify right side
    662.50x = 276,139.05
  5. Step 5: Solve for x
    x = 276,139.05/662.50
  6. Step 6: Final answer
    x = 416.81

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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.