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Finding the Fourth Proportional to 656.96, 905.91 and 490.91

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Solution

The fourth proportional to 656.96, 905.91 and 490.91 is: 676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 905.91 = 490.91 : x
  2. Step 2: Convert to fraction form
    656.96/905.91 = 490.91/x
  3. Step 3: Cross multiply
    656.96x = 905.91 × 490.91
  4. Step 4: Simplify right side
    656.96x = 444,720.28
  5. Step 5: Solve for x
    x = 444,720.28/656.96
  6. Step 6: Final answer
    x = 676.94

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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.