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Finding the Fourth Proportional to 662.77, 993.61 and 277.75

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Solution

The fourth proportional to 662.77, 993.61 and 277.75 is: 416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.77 : 993.61 = 277.75 : x
  2. Step 2: Convert to fraction form
    662.77/993.61 = 277.75/x
  3. Step 3: Cross multiply
    662.77x = 993.61 × 277.75
  4. Step 4: Simplify right side
    662.77x = 275,975.18
  5. Step 5: Solve for x
    x = 275,975.18/662.77
  6. Step 6: Final answer
    x = 416.40

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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.