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Finding the Fourth Proportional to 628.89, 943.49 and 263.71

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Solution

The fourth proportional to 628.89, 943.49 and 263.71 is: 395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.89 : 943.49 = 263.71 : x
  2. Step 2: Convert to fraction form
    628.89/943.49 = 263.71/x
  3. Step 3: Cross multiply
    628.89x = 943.49 × 263.71
  4. Step 4: Simplify right side
    628.89x = 248,807.75
  5. Step 5: Solve for x
    x = 248,807.75/628.89
  6. Step 6: Final answer
    x = 395.63

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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.