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Finding the Fourth Proportional to 432.73, 648.96 and 381.43

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Solution

The fourth proportional to 432.73, 648.96 and 381.43 is: 572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.73 : 648.96 = 381.43 : x
  2. Step 2: Convert to fraction form
    432.73/648.96 = 381.43/x
  3. Step 3: Cross multiply
    432.73x = 648.96 × 381.43
  4. Step 4: Simplify right side
    432.73x = 247,532.81
  5. Step 5: Solve for x
    x = 247,532.81/432.73
  6. Step 6: Final answer
    x = 572.03

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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.