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Finding the Fourth Proportional to 667.27, 1,001.27 and 277.55

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Solution

The fourth proportional to 667.27, 1,001.27 and 277.55 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.27 : 1,001.27 = 277.55 : x
  2. Step 2: Convert to fraction form
    667.27/1,001.27 = 277.55/x
  3. Step 3: Cross multiply
    667.27x = 1,001.27 × 277.55
  4. Step 4: Simplify right side
    667.27x = 277,902.49
  5. Step 5: Solve for x
    x = 277,902.49/667.27
  6. Step 6: Final answer
    x = 416.48

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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.