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Finding the Fourth Proportional to 628.34, 942.26 and 195.38

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Solution

The fourth proportional to 628.34, 942.26 and 195.38 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 942.26 = 195.38 : x
  2. Step 2: Convert to fraction form
    628.34/942.26 = 195.38/x
  3. Step 3: Cross multiply
    628.34x = 942.26 × 195.38
  4. Step 4: Simplify right side
    628.34x = 184,098.76
  5. Step 5: Solve for x
    x = 184,098.76/628.34
  6. Step 6: Final answer
    x = 292.99

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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.