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Finding the Fourth Proportional to 628.82, 943.14 and 281.97

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Solution

The fourth proportional to 628.82, 943.14 and 281.97 is: 422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 943.14 = 281.97 : x
  2. Step 2: Convert to fraction form
    628.82/943.14 = 281.97/x
  3. Step 3: Cross multiply
    628.82x = 943.14 × 281.97
  4. Step 4: Simplify right side
    628.82x = 265,942.89
  5. Step 5: Solve for x
    x = 265,942.89/628.82
  6. Step 6: Final answer
    x = 422.92

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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.