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Finding the Fourth Proportional to 490.76, 676.86 and 325.22

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Solution

The fourth proportional to 490.76, 676.86 and 325.22 is: 448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 676.86 = 325.22 : x
  2. Step 2: Convert to fraction form
    490.76/676.86 = 325.22/x
  3. Step 3: Cross multiply
    490.76x = 676.86 × 325.22
  4. Step 4: Simplify right side
    490.76x = 220,123.81
  5. Step 5: Solve for x
    x = 220,123.81/490.76
  6. Step 6: Final answer
    x = 448.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.