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Finding the Fourth Proportional to 655.60, 904.72 and 490.56

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Solution

The fourth proportional to 655.60, 904.72 and 490.56 is: 676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.60 : 904.72 = 490.56 : x
  2. Step 2: Convert to fraction form
    655.60/904.72 = 490.56/x
  3. Step 3: Cross multiply
    655.60x = 904.72 × 490.56
  4. Step 4: Simplify right side
    655.60x = 443,819.44
  5. Step 5: Solve for x
    x = 443,819.44/655.60
  6. Step 6: Final answer
    x = 676.97

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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.