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Finding the Fourth Proportional to 733.65, 1,012.41 and 438.90

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Solution

The fourth proportional to 733.65, 1,012.41 and 438.90 is: 605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.65 : 1,012.41 = 438.90 : x
  2. Step 2: Convert to fraction form
    733.65/1,012.41 = 438.90/x
  3. Step 3: Cross multiply
    733.65x = 1,012.41 × 438.90
  4. Step 4: Simplify right side
    733.65x = 444,346.75
  5. Step 5: Solve for x
    x = 444,346.75/733.65
  6. Step 6: Final answer
    x = 605.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.