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Finding the Fourth Proportional to 432.26, 648.69 and 278.56

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Solution

The fourth proportional to 432.26, 648.69 and 278.56 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.26 : 648.69 = 278.56 : x
  2. Step 2: Convert to fraction form
    432.26/648.69 = 278.56/x
  3. Step 3: Cross multiply
    432.26x = 648.69 × 278.56
  4. Step 4: Simplify right side
    432.26x = 180,694.45
  5. Step 5: Solve for x
    x = 180,694.45/432.26
  6. Step 6: Final answer
    x = 418.03

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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.