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Finding the Fourth Proportional to 628.89, 943.15 and 263.24

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Solution

The fourth proportional to 628.89, 943.15 and 263.24 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.89 : 943.15 = 263.24 : x
  2. Step 2: Convert to fraction form
    628.89/943.15 = 263.24/x
  3. Step 3: Cross multiply
    628.89x = 943.15 × 263.24
  4. Step 4: Simplify right side
    628.89x = 248,274.81
  5. Step 5: Solve for x
    x = 248,274.81/628.89
  6. Step 6: Final answer
    x = 394.78

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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.