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Finding the Fourth Proportional to 490.12, 676.50 and 332.84

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Solution

The fourth proportional to 490.12, 676.50 and 332.84 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.12 : 676.50 = 332.84 : x
  2. Step 2: Convert to fraction form
    490.12/676.50 = 332.84/x
  3. Step 3: Cross multiply
    490.12x = 676.50 × 332.84
  4. Step 4: Simplify right side
    490.12x = 225,166.26
  5. Step 5: Solve for x
    x = 225,166.26/490.12
  6. Step 6: Final answer
    x = 459.41

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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.