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Finding the Fourth Proportional to 432.82, 649.20 and 289.42

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Solution

The fourth proportional to 432.82, 649.20 and 289.42 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.82 : 649.20 = 289.42 : x
  2. Step 2: Convert to fraction form
    432.82/649.20 = 289.42/x
  3. Step 3: Cross multiply
    432.82x = 649.20 × 289.42
  4. Step 4: Simplify right side
    432.82x = 187,891.46
  5. Step 5: Solve for x
    x = 187,891.46/432.82
  6. Step 6: Final answer
    x = 434.11

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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.