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Finding the Fourth Proportional to 499.30, 748.44 and 345.26

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Solution

The fourth proportional to 499.30, 748.44 and 345.26 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.30 : 748.44 = 345.26 : x
  2. Step 2: Convert to fraction form
    499.30/748.44 = 345.26/x
  3. Step 3: Cross multiply
    499.30x = 748.44 × 345.26
  4. Step 4: Simplify right side
    499.30x = 258,408.27
  5. Step 5: Solve for x
    x = 258,408.27/499.30
  6. Step 6: Final answer
    x = 517.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.