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Finding the Fourth Proportional to 628.92, 944.46 and 340.56

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Solution

The fourth proportional to 628.92, 944.46 and 340.56 is: 511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 944.46 = 340.56 : x
  2. Step 2: Convert to fraction form
    628.92/944.46 = 340.56/x
  3. Step 3: Cross multiply
    628.92x = 944.46 × 340.56
  4. Step 4: Simplify right side
    628.92x = 321,645.30
  5. Step 5: Solve for x
    x = 321,645.30/628.92
  6. Step 6: Final answer
    x = 511.42

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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.