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Finding the Fourth Proportional to 667.46, 1,002.27 and 412.58

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Solution

The fourth proportional to 667.46, 1,002.27 and 412.58 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.46 : 1,002.27 = 412.58 : x
  2. Step 2: Convert to fraction form
    667.46/1,002.27 = 412.58/x
  3. Step 3: Cross multiply
    667.46x = 1,002.27 × 412.58
  4. Step 4: Simplify right side
    667.46x = 413,516.56
  5. Step 5: Solve for x
    x = 413,516.56/667.46
  6. Step 6: Final answer
    x = 619.54

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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.