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Finding the Fourth Proportional to 625.46, 863.09 and 345.70

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Solution

The fourth proportional to 625.46, 863.09 and 345.70 is: 477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.46 : 863.09 = 345.70 : x
  2. Step 2: Convert to fraction form
    625.46/863.09 = 345.70/x
  3. Step 3: Cross multiply
    625.46x = 863.09 × 345.70
  4. Step 4: Simplify right side
    625.46x = 298,370.86
  5. Step 5: Solve for x
    x = 298,370.86/625.46
  6. Step 6: Final answer
    x = 477.05

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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.