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Finding the Fourth Proportional to 367.53, 504.28 and 364.09

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Solution

The fourth proportional to 367.53, 504.28 and 364.09 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.53 : 504.28 = 364.09 : x
  2. Step 2: Convert to fraction form
    367.53/504.28 = 364.09/x
  3. Step 3: Cross multiply
    367.53x = 504.28 × 364.09
  4. Step 4: Simplify right side
    367.53x = 183,603.31
  5. Step 5: Solve for x
    x = 183,603.31/367.53
  6. Step 6: Final answer
    x = 499.56

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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.