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Finding the Fourth Proportional to 432.96, 649.53 and 144.39

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Solution

The fourth proportional to 432.96, 649.53 and 144.39 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 649.53 = 144.39 : x
  2. Step 2: Convert to fraction form
    432.96/649.53 = 144.39/x
  3. Step 3: Cross multiply
    432.96x = 649.53 × 144.39
  4. Step 4: Simplify right side
    432.96x = 93,785.64
  5. Step 5: Solve for x
    x = 93,785.64/432.96
  6. Step 6: Final answer
    x = 216.62

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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.