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Finding the Fourth Proportional to 628.40, 942.42 and 189.63

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Solution

The fourth proportional to 628.40, 942.42 and 189.63 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.40 : 942.42 = 189.63 : x
  2. Step 2: Convert to fraction form
    628.40/942.42 = 189.63/x
  3. Step 3: Cross multiply
    628.40x = 942.42 × 189.63
  4. Step 4: Simplify right side
    628.40x = 178,711.10
  5. Step 5: Solve for x
    x = 178,711.10/628.40
  6. Step 6: Final answer
    x = 284.39

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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.