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Finding the Fourth Proportional to 499.90, 749.34 and 337.60

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Solution

The fourth proportional to 499.90, 749.34 and 337.60 is: 506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.90 : 749.34 = 337.60 : x
  2. Step 2: Convert to fraction form
    499.90/749.34 = 337.60/x
  3. Step 3: Cross multiply
    499.90x = 749.34 × 337.60
  4. Step 4: Simplify right side
    499.90x = 252,977.18
  5. Step 5: Solve for x
    x = 252,977.18/499.90
  6. Step 6: Final answer
    x = 506.06

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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.