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Finding the Fourth Proportional to 432.58, 648.24 and 269.78

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Solution

The fourth proportional to 432.58, 648.24 and 269.78 is: 404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.58 : 648.24 = 269.78 : x
  2. Step 2: Convert to fraction form
    432.58/648.24 = 269.78/x
  3. Step 3: Cross multiply
    432.58x = 648.24 × 269.78
  4. Step 4: Simplify right side
    432.58x = 174,882.19
  5. Step 5: Solve for x
    x = 174,882.19/432.58
  6. Step 6: Final answer
    x = 404.28

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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.