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Finding the Fourth Proportional to 490.45, 676.47 and 468.31

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Solution

The fourth proportional to 490.45, 676.47 and 468.31 is: 645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.45 : 676.47 = 468.31 : x
  2. Step 2: Convert to fraction form
    490.45/676.47 = 468.31/x
  3. Step 3: Cross multiply
    490.45x = 676.47 × 468.31
  4. Step 4: Simplify right side
    490.45x = 316,797.67
  5. Step 5: Solve for x
    x = 316,797.67/490.45
  6. Step 6: Final answer
    x = 645.93

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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.