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Finding the Fourth Proportional to 491.56, 676.98 and 490.05

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Solution

The fourth proportional to 491.56, 676.98 and 490.05 is: 674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.56 : 676.98 = 490.05 : x
  2. Step 2: Convert to fraction form
    491.56/676.98 = 490.05/x
  3. Step 3: Cross multiply
    491.56x = 676.98 × 490.05
  4. Step 4: Simplify right side
    491.56x = 331,754.05
  5. Step 5: Solve for x
    x = 331,754.05/491.56
  6. Step 6: Final answer
    x = 674.90

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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.