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Finding the Fourth Proportional to 499.70, 749.79 and 294.38

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Solution

The fourth proportional to 499.70, 749.79 and 294.38 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.70 : 749.79 = 294.38 : x
  2. Step 2: Convert to fraction form
    499.70/749.79 = 294.38/x
  3. Step 3: Cross multiply
    499.70x = 749.79 × 294.38
  4. Step 4: Simplify right side
    499.70x = 220,723.18
  5. Step 5: Solve for x
    x = 220,723.18/499.70
  6. Step 6: Final answer
    x = 441.71

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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.