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Finding the Fourth Proportional to 628.13, 942.39 and 281.75

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Solution

The fourth proportional to 628.13, 942.39 and 281.75 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 942.39 = 281.75 : x
  2. Step 2: Convert to fraction form
    628.13/942.39 = 281.75/x
  3. Step 3: Cross multiply
    628.13x = 942.39 × 281.75
  4. Step 4: Simplify right side
    628.13x = 265,513.67
  5. Step 5: Solve for x
    x = 265,513.67/628.13
  6. Step 6: Final answer
    x = 422.71

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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.