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Finding the Fourth Proportional to 432.71, 649.31 and 189.26

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Solution

The fourth proportional to 432.71, 649.31 and 189.26 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 649.31 = 189.26 : x
  2. Step 2: Convert to fraction form
    432.71/649.31 = 189.26/x
  3. Step 3: Cross multiply
    432.71x = 649.31 × 189.26
  4. Step 4: Simplify right side
    432.71x = 122,884.22
  5. Step 5: Solve for x
    x = 122,884.22/432.71
  6. Step 6: Final answer
    x = 283.99

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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.