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Finding the Fourth Proportional to 628.31, 942.33 and 263.51

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Solution

The fourth proportional to 628.31, 942.33 and 263.51 is: 395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.31 : 942.33 = 263.51 : x
  2. Step 2: Convert to fraction form
    628.31/942.33 = 263.51/x
  3. Step 3: Cross multiply
    628.31x = 942.33 × 263.51
  4. Step 4: Simplify right side
    628.31x = 248,313.38
  5. Step 5: Solve for x
    x = 248,313.38/628.31
  6. Step 6: Final answer
    x = 395.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.