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Finding the Fourth Proportional to 432.74, 648.25 and 201.31

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Solution

The fourth proportional to 432.74, 648.25 and 201.31 is: 301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 648.25 = 201.31 : x
  2. Step 2: Convert to fraction form
    432.74/648.25 = 201.31/x
  3. Step 3: Cross multiply
    432.74x = 648.25 × 201.31
  4. Step 4: Simplify right side
    432.74x = 130,499.21
  5. Step 5: Solve for x
    x = 130,499.21/432.74
  6. Step 6: Final answer
    x = 301.56

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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.