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Finding the Fourth Proportional to 329.12, 454.32 and 225.68

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Solution

The fourth proportional to 329.12, 454.32 and 225.68 is: 311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 454.32 = 225.68 : x
  2. Step 2: Convert to fraction form
    329.12/454.32 = 225.68/x
  3. Step 3: Cross multiply
    329.12x = 454.32 × 225.68
  4. Step 4: Simplify right side
    329.12x = 102,530.94
  5. Step 5: Solve for x
    x = 102,530.94/329.12
  6. Step 6: Final answer
    x = 311.53

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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.