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Finding the Fourth Proportional to 340.54, 512.69 and 293.56

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Solution

The fourth proportional to 340.54, 512.69 and 293.56 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 512.69 = 293.56 : x
  2. Step 2: Convert to fraction form
    340.54/512.69 = 293.56/x
  3. Step 3: Cross multiply
    340.54x = 512.69 × 293.56
  4. Step 4: Simplify right side
    340.54x = 150,505.28
  5. Step 5: Solve for x
    x = 150,505.28/340.54
  6. Step 6: Final answer
    x = 441.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.