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Finding the Fourth Proportional to 625.39, 862.96 and 345.55

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Solution

The fourth proportional to 625.39, 862.96 and 345.55 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.39 : 862.96 = 345.55 : x
  2. Step 2: Convert to fraction form
    625.39/862.96 = 345.55/x
  3. Step 3: Cross multiply
    625.39x = 862.96 × 345.55
  4. Step 4: Simplify right side
    625.39x = 298,198.59
  5. Step 5: Solve for x
    x = 298,198.59/625.39
  6. Step 6: Final answer
    x = 476.82

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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.