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Finding the Fourth Proportional to 432.82, 649.32 and 189.38

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Solution

The fourth proportional to 432.82, 649.32 and 189.38 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.82 : 649.32 = 189.38 : x
  2. Step 2: Convert to fraction form
    432.82/649.32 = 189.38/x
  3. Step 3: Cross multiply
    432.82x = 649.32 × 189.38
  4. Step 4: Simplify right side
    432.82x = 122,968.22
  5. Step 5: Solve for x
    x = 122,968.22/432.82
  6. Step 6: Final answer
    x = 284.11

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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.