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Finding the Fourth Proportional to 367.73, 510.22 and 364.59

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Solution

The fourth proportional to 367.73, 510.22 and 364.59 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.73 : 510.22 = 364.59 : x
  2. Step 2: Convert to fraction form
    367.73/510.22 = 364.59/x
  3. Step 3: Cross multiply
    367.73x = 510.22 × 364.59
  4. Step 4: Simplify right side
    367.73x = 186,021.11
  5. Step 5: Solve for x
    x = 186,021.11/367.73
  6. Step 6: Final answer
    x = 505.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.