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Finding the Fourth Proportional to 432.09, 648.32 and 269.82

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Solution

The fourth proportional to 432.09, 648.32 and 269.82 is: 404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 648.32 = 269.82 : x
  2. Step 2: Convert to fraction form
    432.09/648.32 = 269.82/x
  3. Step 3: Cross multiply
    432.09x = 648.32 × 269.82
  4. Step 4: Simplify right side
    432.09x = 174,928.35
  5. Step 5: Solve for x
    x = 174,928.35/432.09
  6. Step 6: Final answer
    x = 404.84

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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.