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Finding the Fourth Proportional to 617.44, 851.16 and 451.84

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Solution

The fourth proportional to 617.44, 851.16 and 451.84 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 851.16 = 451.84 : x
  2. Step 2: Convert to fraction form
    617.44/851.16 = 451.84/x
  3. Step 3: Cross multiply
    617.44x = 851.16 × 451.84
  4. Step 4: Simplify right side
    617.44x = 384,588.13
  5. Step 5: Solve for x
    x = 384,588.13/617.44
  6. Step 6: Final answer
    x = 622.88

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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.