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Finding the Fourth Proportional to 432.05, 596.37 and 321.89

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Solution

The fourth proportional to 432.05, 596.37 and 321.89 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.05 : 596.37 = 321.89 : x
  2. Step 2: Convert to fraction form
    432.05/596.37 = 321.89/x
  3. Step 3: Cross multiply
    432.05x = 596.37 × 321.89
  4. Step 4: Simplify right side
    432.05x = 191,962.56
  5. Step 5: Solve for x
    x = 191,962.56/432.05
  6. Step 6: Final answer
    x = 444.31

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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.