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Finding the Fourth Proportional to 329.21, 452.28 and 294.69

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Solution

The fourth proportional to 329.21, 452.28 and 294.69 is: 404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.21 : 452.28 = 294.69 : x
  2. Step 2: Convert to fraction form
    329.21/452.28 = 294.69/x
  3. Step 3: Cross multiply
    329.21x = 452.28 × 294.69
  4. Step 4: Simplify right side
    329.21x = 133,282.39
  5. Step 5: Solve for x
    x = 133,282.39/329.21
  6. Step 6: Final answer
    x = 404.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.