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Finding the Fourth Proportional to 738.78, 1,107.80 and 276.48

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Solution

The fourth proportional to 738.78, 1,107.80 and 276.48 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.78 : 1,107.80 = 276.48 : x
  2. Step 2: Convert to fraction form
    738.78/1,107.80 = 276.48/x
  3. Step 3: Cross multiply
    738.78x = 1,107.80 × 276.48
  4. Step 4: Simplify right side
    738.78x = 306,284.54
  5. Step 5: Solve for x
    x = 306,284.54/738.78
  6. Step 6: Final answer
    x = 414.58

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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.