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Finding the Fourth Proportional to 353.05, 532.25 and 329.56

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Solution

The fourth proportional to 353.05, 532.25 and 329.56 is: 496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.05 : 532.25 = 329.56 : x
  2. Step 2: Convert to fraction form
    353.05/532.25 = 329.56/x
  3. Step 3: Cross multiply
    353.05x = 532.25 × 329.56
  4. Step 4: Simplify right side
    353.05x = 175,408.31
  5. Step 5: Solve for x
    x = 175,408.31/353.05
  6. Step 6: Final answer
    x = 496.84

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Why These Related Problems?

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