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Finding the Fourth Proportional to 668.36, 1,002.23 and 278.27

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Solution

The fourth proportional to 668.36, 1,002.23 and 278.27 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.36 : 1,002.23 = 278.27 : x
  2. Step 2: Convert to fraction form
    668.36/1,002.23 = 278.27/x
  3. Step 3: Cross multiply
    668.36x = 1,002.23 × 278.27
  4. Step 4: Simplify right side
    668.36x = 278,888.94
  5. Step 5: Solve for x
    x = 278,888.94/668.36
  6. Step 6: Final answer
    x = 417.28

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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.