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Finding the Fourth Proportional to 432.72, 649.21 and 201.75

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Solution

The fourth proportional to 432.72, 649.21 and 201.75 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 649.21 = 201.75 : x
  2. Step 2: Convert to fraction form
    432.72/649.21 = 201.75/x
  3. Step 3: Cross multiply
    432.72x = 649.21 × 201.75
  4. Step 4: Simplify right side
    432.72x = 130,974.87
  5. Step 5: Solve for x
    x = 130,974.87/432.72
  6. Step 6: Final answer
    x = 302.68

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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.