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Finding the Fourth Proportional to 738.38, 1,107.57 and 276.15

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Solution

The fourth proportional to 738.38, 1,107.57 and 276.15 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,107.57 = 276.15 : x
  2. Step 2: Convert to fraction form
    738.38/1,107.57 = 276.15/x
  3. Step 3: Cross multiply
    738.38x = 1,107.57 × 276.15
  4. Step 4: Simplify right side
    738.38x = 305,855.46
  5. Step 5: Solve for x
    x = 305,855.46/738.38
  6. Step 6: Final answer
    x = 414.23

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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.