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Finding the Fourth Proportional to 352.74, 485.34 and 344.56

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Solution

The fourth proportional to 352.74, 485.34 and 344.56 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.74 : 485.34 = 344.56 : x
  2. Step 2: Convert to fraction form
    352.74/485.34 = 344.56/x
  3. Step 3: Cross multiply
    352.74x = 485.34 × 344.56
  4. Step 4: Simplify right side
    352.74x = 167,228.75
  5. Step 5: Solve for x
    x = 167,228.75/352.74
  6. Step 6: Final answer
    x = 474.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.