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Finding the Fourth Proportional to 432, 596.34 and 263.97

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Solution

The fourth proportional to 432, 596.34 and 263.97 is: 364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 596.34 = 263.97 : x
  2. Step 2: Convert to fraction form
    432/596.34 = 263.97/x
  3. Step 3: Cross multiply
    432x = 596.34 × 263.97
  4. Step 4: Simplify right side
    432x = 157,415.87
  5. Step 5: Solve for x
    x = 157,415.87/432
  6. Step 6: Final answer
    x = 364.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.