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Finding the Fourth Proportional to 365.11, 499.39 and 359.44

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Solution

The fourth proportional to 365.11, 499.39 and 359.44 is: 491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.11 : 499.39 = 359.44 : x
  2. Step 2: Convert to fraction form
    365.11/499.39 = 359.44/x
  3. Step 3: Cross multiply
    365.11x = 499.39 × 359.44
  4. Step 4: Simplify right side
    365.11x = 179,500.74
  5. Step 5: Solve for x
    x = 179,500.74/365.11
  6. Step 6: Final answer
    x = 491.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.