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Finding the Fourth Proportional to 625.98, 863.76 and 377.40

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Solution

The fourth proportional to 625.98, 863.76 and 377.40 is: 520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.98 : 863.76 = 377.40 : x
  2. Step 2: Convert to fraction form
    625.98/863.76 = 377.40/x
  3. Step 3: Cross multiply
    625.98x = 863.76 × 377.40
  4. Step 4: Simplify right side
    625.98x = 325,983.02
  5. Step 5: Solve for x
    x = 325,983.02/625.98
  6. Step 6: Final answer
    x = 520.76

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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.