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Finding the Fourth Proportional to 738.14, 1,107.32 and 244.53

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Solution

The fourth proportional to 738.14, 1,107.32 and 244.53 is: 366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.14 : 1,107.32 = 244.53 : x
  2. Step 2: Convert to fraction form
    738.14/1,107.32 = 244.53/x
  3. Step 3: Cross multiply
    738.14x = 1,107.32 × 244.53
  4. Step 4: Simplify right side
    738.14x = 270,771.74
  5. Step 5: Solve for x
    x = 270,771.74/738.14
  6. Step 6: Final answer
    x = 366.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.