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Finding the Fourth Proportional to 667.44, 920.58 and 490.35

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Solution

The fourth proportional to 667.44, 920.58 and 490.35 is: 676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.44 : 920.58 = 490.35 : x
  2. Step 2: Convert to fraction form
    667.44/920.58 = 490.35/x
  3. Step 3: Cross multiply
    667.44x = 920.58 × 490.35
  4. Step 4: Simplify right side
    667.44x = 451,406.40
  5. Step 5: Solve for x
    x = 451,406.40/667.44
  6. Step 6: Final answer
    x = 676.33

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Why These Related Problems?

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