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Finding the Fourth Proportional to 667.91, 1,002.26 and 257.07

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Solution

The fourth proportional to 667.91, 1,002.26 and 257.07 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.91 : 1,002.26 = 257.07 : x
  2. Step 2: Convert to fraction form
    667.91/1,002.26 = 257.07/x
  3. Step 3: Cross multiply
    667.91x = 1,002.26 × 257.07
  4. Step 4: Simplify right side
    667.91x = 257,649.69
  5. Step 5: Solve for x
    x = 257,649.69/667.91
  6. Step 6: Final answer
    x = 385.76

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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.