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Finding the Fourth Proportional to 628.22, 942.47 and 189.47

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Solution

The fourth proportional to 628.22, 942.47 and 189.47 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 942.47 = 189.47 : x
  2. Step 2: Convert to fraction form
    628.22/942.47 = 189.47/x
  3. Step 3: Cross multiply
    628.22x = 942.47 × 189.47
  4. Step 4: Simplify right side
    628.22x = 178,564.13
  5. Step 5: Solve for x
    x = 178,564.13/628.22
  6. Step 6: Final answer
    x = 284.24

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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.