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Finding the Fourth Proportional to 432.54, 649.05 and 189.27

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Solution

The fourth proportional to 432.54, 649.05 and 189.27 is: 284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 649.05 = 189.27 : x
  2. Step 2: Convert to fraction form
    432.54/649.05 = 189.27/x
  3. Step 3: Cross multiply
    432.54x = 649.05 × 189.27
  4. Step 4: Simplify right side
    432.54x = 122,845.69
  5. Step 5: Solve for x
    x = 122,845.69/432.54
  6. Step 6: Final answer
    x = 284.01

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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.