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Finding the Fourth Proportional to 733.28, 1,011.78 and 438.68

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Solution

The fourth proportional to 733.28, 1,011.78 and 438.68 is: 605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.28 : 1,011.78 = 438.68 : x
  2. Step 2: Convert to fraction form
    733.28/1,011.78 = 438.68/x
  3. Step 3: Cross multiply
    733.28x = 1,011.78 × 438.68
  4. Step 4: Simplify right side
    733.28x = 443,847.65
  5. Step 5: Solve for x
    x = 443,847.65/733.28
  6. Step 6: Final answer
    x = 605.29

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Why These Related Problems?

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