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Finding the Fourth Proportional to 617.63, 851.72 and 451.31

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Solution

The fourth proportional to 617.63, 851.72 and 451.31 is: 622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 851.72 = 451.31 : x
  2. Step 2: Convert to fraction form
    617.63/851.72 = 451.31/x
  3. Step 3: Cross multiply
    617.63x = 851.72 × 451.31
  4. Step 4: Simplify right side
    617.63x = 384,383.24
  5. Step 5: Solve for x
    x = 384,383.24/617.63
  6. Step 6: Final answer
    x = 622.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.