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Finding the Fourth Proportional to 432.80, 648.74 and 201.42

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Solution

The fourth proportional to 432.80, 648.74 and 201.42 is: 301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 648.74 = 201.42 : x
  2. Step 2: Convert to fraction form
    432.80/648.74 = 201.42/x
  3. Step 3: Cross multiply
    432.80x = 648.74 × 201.42
  4. Step 4: Simplify right side
    432.80x = 130,669.21
  5. Step 5: Solve for x
    x = 130,669.21/432.80
  6. Step 6: Final answer
    x = 301.92

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