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Finding the Fourth Proportional to 432.99, 648.62 and 201.56

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Solution

The fourth proportional to 432.99, 648.62 and 201.56 is: 301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.99 : 648.62 = 201.56 : x
  2. Step 2: Convert to fraction form
    432.99/648.62 = 201.56/x
  3. Step 3: Cross multiply
    432.99x = 648.62 × 201.56
  4. Step 4: Simplify right side
    432.99x = 130,735.85
  5. Step 5: Solve for x
    x = 130,735.85/432.99
  6. Step 6: Final answer
    x = 301.94

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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.