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Finding the Fourth Proportional to 628.17, 942.08 and 189.41

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Solution

The fourth proportional to 628.17, 942.08 and 189.41 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.17 : 942.08 = 189.41 : x
  2. Step 2: Convert to fraction form
    628.17/942.08 = 189.41/x
  3. Step 3: Cross multiply
    628.17x = 942.08 × 189.41
  4. Step 4: Simplify right side
    628.17x = 178,433.72
  5. Step 5: Solve for x
    x = 178,433.72/628.17
  6. Step 6: Final answer
    x = 284.05

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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.