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Finding the Fourth Proportional to 625.56, 863.22 and 345.78

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Solution

The fourth proportional to 625.56, 863.22 and 345.78 is: 477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.56 : 863.22 = 345.78 : x
  2. Step 2: Convert to fraction form
    625.56/863.22 = 345.78/x
  3. Step 3: Cross multiply
    625.56x = 863.22 × 345.78
  4. Step 4: Simplify right side
    625.56x = 298,484.21
  5. Step 5: Solve for x
    x = 298,484.21/625.56
  6. Step 6: Final answer
    x = 477.15

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