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Finding the Fourth Proportional to 746.28, 1,119.24 and 356.04

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Solution

The fourth proportional to 746.28, 1,119.24 and 356.04 is: 533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.28 : 1,119.24 = 356.04 : x
  2. Step 2: Convert to fraction form
    746.28/1,119.24 = 356.04/x
  3. Step 3: Cross multiply
    746.28x = 1,119.24 × 356.04
  4. Step 4: Simplify right side
    746.28x = 398,494.21
  5. Step 5: Solve for x
    x = 398,494.21/746.28
  6. Step 6: Final answer
    x = 533.97

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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.