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Finding the Fourth Proportional to 492.69, 738.39 and 232.65

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Solution

The fourth proportional to 492.69, 738.39 and 232.65 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.69 : 738.39 = 232.65 : x
  2. Step 2: Convert to fraction form
    492.69/738.39 = 232.65/x
  3. Step 3: Cross multiply
    492.69x = 738.39 × 232.65
  4. Step 4: Simplify right side
    492.69x = 171,786.43
  5. Step 5: Solve for x
    x = 171,786.43/492.69
  6. Step 6: Final answer
    x = 348.67

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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.