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Finding the Fourth Proportional to 432, 648.08 and 204

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Solution

The fourth proportional to 432, 648.08 and 204 is: 306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 648.08 = 204 : x
  2. Step 2: Convert to fraction form
    432/648.08 = 204/x
  3. Step 3: Cross multiply
    432x = 648.08 × 204
  4. Step 4: Simplify right side
    432x = 132,208.32
  5. Step 5: Solve for x
    x = 132,208.32/432
  6. Step 6: Final answer
    x = 306.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.