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Finding the Fourth Proportional to 625.43, 863.06 and 345.64

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Solution

The fourth proportional to 625.43, 863.06 and 345.64 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.43 : 863.06 = 345.64 : x
  2. Step 2: Convert to fraction form
    625.43/863.06 = 345.64/x
  3. Step 3: Cross multiply
    625.43x = 863.06 × 345.64
  4. Step 4: Simplify right side
    625.43x = 298,311.51
  5. Step 5: Solve for x
    x = 298,311.51/625.43
  6. Step 6: Final answer
    x = 476.97

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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.