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Finding the Fourth Proportional to 616.88, 851.31 and 484.27

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Solution

The fourth proportional to 616.88, 851.31 and 484.27 is: 668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 851.31 = 484.27 : x
  2. Step 2: Convert to fraction form
    616.88/851.31 = 484.27/x
  3. Step 3: Cross multiply
    616.88x = 851.31 × 484.27
  4. Step 4: Simplify right side
    616.88x = 412,261.77
  5. Step 5: Solve for x
    x = 412,261.77/616.88
  6. Step 6: Final answer
    x = 668.30

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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.