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Finding the Fourth Proportional to 432.92, 649.39 and 144.36

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Solution

The fourth proportional to 432.92, 649.39 and 144.36 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.92 : 649.39 = 144.36 : x
  2. Step 2: Convert to fraction form
    432.92/649.39 = 144.36/x
  3. Step 3: Cross multiply
    432.92x = 649.39 × 144.36
  4. Step 4: Simplify right side
    432.92x = 93,745.94
  5. Step 5: Solve for x
    x = 93,745.94/432.92
  6. Step 6: Final answer
    x = 216.54

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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.