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Finding the Fourth Proportional to 432.62, 649.03 and 213.31

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Solution

The fourth proportional to 432.62, 649.03 and 213.31 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 649.03 = 213.31 : x
  2. Step 2: Convert to fraction form
    432.62/649.03 = 213.31/x
  3. Step 3: Cross multiply
    432.62x = 649.03 × 213.31
  4. Step 4: Simplify right side
    432.62x = 138,442.43
  5. Step 5: Solve for x
    x = 138,442.43/432.62
  6. Step 6: Final answer
    x = 320.01

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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.