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Finding the Fourth Proportional to 329.84, 455.22 and 213.32

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Solution

The fourth proportional to 329.84, 455.22 and 213.32 is: 294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 455.22 = 213.32 : x
  2. Step 2: Convert to fraction form
    329.84/455.22 = 213.32/x
  3. Step 3: Cross multiply
    329.84x = 455.22 × 213.32
  4. Step 4: Simplify right side
    329.84x = 97,107.53
  5. Step 5: Solve for x
    x = 97,107.53/329.84
  6. Step 6: Final answer
    x = 294.41

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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.