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Finding the Fourth Proportional to 628.31, 942.64 and 189.54

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Solution

The fourth proportional to 628.31, 942.64 and 189.54 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.31 : 942.64 = 189.54 : x
  2. Step 2: Convert to fraction form
    628.31/942.64 = 189.54/x
  3. Step 3: Cross multiply
    628.31x = 942.64 × 189.54
  4. Step 4: Simplify right side
    628.31x = 178,667.51
  5. Step 5: Solve for x
    x = 178,667.51/628.31
  6. Step 6: Final answer
    x = 284.36

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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.