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Finding the Fourth Proportional to 432.09, 596.39 and 333.63

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Solution

The fourth proportional to 432.09, 596.39 and 333.63 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 596.39 = 333.63 : x
  2. Step 2: Convert to fraction form
    432.09/596.39 = 333.63/x
  3. Step 3: Cross multiply
    432.09x = 596.39 × 333.63
  4. Step 4: Simplify right side
    432.09x = 198,971.93
  5. Step 5: Solve for x
    x = 198,971.93/432.09
  6. Step 6: Final answer
    x = 460.49

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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.