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Finding the Fourth Proportional to 432.20, 595.86 and 333.56

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Solution

The fourth proportional to 432.20, 595.86 and 333.56 is: 459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.20 : 595.86 = 333.56 : x
  2. Step 2: Convert to fraction form
    432.20/595.86 = 333.56/x
  3. Step 3: Cross multiply
    432.20x = 595.86 × 333.56
  4. Step 4: Simplify right side
    432.20x = 198,755.06
  5. Step 5: Solve for x
    x = 198,755.06/432.20
  6. Step 6: Final answer
    x = 459.87

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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.