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Finding the Fourth Proportional to 667.99, 1,002.07 and 278.26

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Solution

The fourth proportional to 667.99, 1,002.07 and 278.26 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.99 : 1,002.07 = 278.26 : x
  2. Step 2: Convert to fraction form
    667.99/1,002.07 = 278.26/x
  3. Step 3: Cross multiply
    667.99x = 1,002.07 × 278.26
  4. Step 4: Simplify right side
    667.99x = 278,833.06
  5. Step 5: Solve for x
    x = 278,833.06/667.99
  6. Step 6: Final answer
    x = 417.42

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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.