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Finding the Fourth Proportional to 738.29, 1,107.40 and 276.03

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Solution

The fourth proportional to 738.29, 1,107.40 and 276.03 is: 414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.29 : 1,107.40 = 276.03 : x
  2. Step 2: Convert to fraction form
    738.29/1,107.40 = 276.03/x
  3. Step 3: Cross multiply
    738.29x = 1,107.40 × 276.03
  4. Step 4: Simplify right side
    738.29x = 305,677.79
  5. Step 5: Solve for x
    x = 305,677.79/738.29
  6. Step 6: Final answer
    x = 414.04

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