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Finding the Fourth Proportional to 628.34, 942.53 and 195.53

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Solution

The fourth proportional to 628.34, 942.53 and 195.53 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 942.53 = 195.53 : x
  2. Step 2: Convert to fraction form
    628.34/942.53 = 195.53/x
  3. Step 3: Cross multiply
    628.34x = 942.53 × 195.53
  4. Step 4: Simplify right side
    628.34x = 184,287.20
  5. Step 5: Solve for x
    x = 184,287.20/628.34
  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.