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Finding the Fourth Proportional to 628.67, 942.45 and 263.23

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Solution

The fourth proportional to 628.67, 942.45 and 263.23 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.67 : 942.45 = 263.23 : x
  2. Step 2: Convert to fraction form
    628.67/942.45 = 263.23/x
  3. Step 3: Cross multiply
    628.67x = 942.45 × 263.23
  4. Step 4: Simplify right side
    628.67x = 248,081.11
  5. Step 5: Solve for x
    x = 248,081.11/628.67
  6. Step 6: Final answer
    x = 394.61

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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.