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Finding the Fourth Proportional to 628.43, 941.90 and 263.12

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Solution

The fourth proportional to 628.43, 941.90 and 263.12 is: 394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.43 : 941.90 = 263.12 : x
  2. Step 2: Convert to fraction form
    628.43/941.90 = 263.12/x
  3. Step 3: Cross multiply
    628.43x = 941.90 × 263.12
  4. Step 4: Simplify right side
    628.43x = 247,826.70
  5. Step 5: Solve for x
    x = 247,826.70/628.43
  6. Step 6: Final answer
    x = 394.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.