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Finding the Fourth Proportional to 451.22, 675.20 and 440.42

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Solution

The fourth proportional to 451.22, 675.20 and 440.42 is: 659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.22 : 675.20 = 440.42 : x
  2. Step 2: Convert to fraction form
    451.22/675.20 = 440.42/x
  3. Step 3: Cross multiply
    451.22x = 675.20 × 440.42
  4. Step 4: Simplify right side
    451.22x = 297,371.58
  5. Step 5: Solve for x
    x = 297,371.58/451.22
  6. Step 6: Final answer
    x = 659.04

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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.