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Finding the Fourth Proportional to 628.38, 942.59 and 195.52

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Solution

The fourth proportional to 628.38, 942.59 and 195.52 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.38 : 942.59 = 195.52 : x
  2. Step 2: Convert to fraction form
    628.38/942.59 = 195.52/x
  3. Step 3: Cross multiply
    628.38x = 942.59 × 195.52
  4. Step 4: Simplify right side
    628.38x = 184,295.20
  5. Step 5: Solve for x
    x = 184,295.20/628.38
  6. Step 6: Final answer
    x = 293.29

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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.