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Finding the Fourth Proportional to 656.67, 905.44 and 490.35

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Solution

The fourth proportional to 656.67, 905.44 and 490.35 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.67 : 905.44 = 490.35 : x
  2. Step 2: Convert to fraction form
    656.67/905.44 = 490.35/x
  3. Step 3: Cross multiply
    656.67x = 905.44 × 490.35
  4. Step 4: Simplify right side
    656.67x = 443,982.50
  5. Step 5: Solve for x
    x = 443,982.50/656.67
  6. Step 6: Final answer
    x = 676.11

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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.