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Finding the Fourth Proportional to 668.30, 1,001.66 and 277.97

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Solution

The fourth proportional to 668.30, 1,001.66 and 277.97 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.30 : 1,001.66 = 277.97 : x
  2. Step 2: Convert to fraction form
    668.30/1,001.66 = 277.97/x
  3. Step 3: Cross multiply
    668.30x = 1,001.66 × 277.97
  4. Step 4: Simplify right side
    668.30x = 278,425.03
  5. Step 5: Solve for x
    x = 278,425.03/668.30
  6. Step 6: Final answer
    x = 416.62

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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.