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Finding the Fourth Proportional to 667.24, 1,000.17 and 256.12

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Solution

The fourth proportional to 667.24, 1,000.17 and 256.12 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.24 : 1,000.17 = 256.12 : x
  2. Step 2: Convert to fraction form
    667.24/1,000.17 = 256.12/x
  3. Step 3: Cross multiply
    667.24x = 1,000.17 × 256.12
  4. Step 4: Simplify right side
    667.24x = 256,163.54
  5. Step 5: Solve for x
    x = 256,163.54/667.24
  6. Step 6: Final answer
    x = 383.92

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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.