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Finding the Fourth Proportional to 628.50, 942.89 and 238.49

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Solution

The fourth proportional to 628.50, 942.89 and 238.49 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.50 : 942.89 = 238.49 : x
  2. Step 2: Convert to fraction form
    628.50/942.89 = 238.49/x
  3. Step 3: Cross multiply
    628.50x = 942.89 × 238.49
  4. Step 4: Simplify right side
    628.50x = 224,863.93
  5. Step 5: Solve for x
    x = 224,863.93/628.50
  6. Step 6: Final answer
    x = 357.78

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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.