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Finding the Fourth Proportional to 432.67, 649.10 and 189.20

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Solution

The fourth proportional to 432.67, 649.10 and 189.20 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.67 : 649.10 = 189.20 : x
  2. Step 2: Convert to fraction form
    432.67/649.10 = 189.20/x
  3. Step 3: Cross multiply
    432.67x = 649.10 × 189.20
  4. Step 4: Simplify right side
    432.67x = 122,809.72
  5. Step 5: Solve for x
    x = 122,809.72/432.67
  6. Step 6: Final answer
    x = 283.84

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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.