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Finding the Fourth Proportional to 625.72, 863.84 and 377.10

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Solution

The fourth proportional to 625.72, 863.84 and 377.10 is: 520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.72 : 863.84 = 377.10 : x
  2. Step 2: Convert to fraction form
    625.72/863.84 = 377.10/x
  3. Step 3: Cross multiply
    625.72x = 863.84 × 377.10
  4. Step 4: Simplify right side
    625.72x = 325,754.06
  5. Step 5: Solve for x
    x = 325,754.06/625.72
  6. Step 6: Final answer
    x = 520.61

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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.