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Finding the Fourth Proportional to 628.26, 942.75 and 263.04

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Solution

The fourth proportional to 628.26, 942.75 and 263.04 is: 394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.26 : 942.75 = 263.04 : x
  2. Step 2: Convert to fraction form
    628.26/942.75 = 263.04/x
  3. Step 3: Cross multiply
    628.26x = 942.75 × 263.04
  4. Step 4: Simplify right side
    628.26x = 247,980.96
  5. Step 5: Solve for x
    x = 247,980.96/628.26
  6. Step 6: Final answer
    x = 394.71

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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.