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Finding the Fourth Proportional to 432.77, 649.46 and 189.37

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Solution

The fourth proportional to 432.77, 649.46 and 189.37 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.77 : 649.46 = 189.37 : x
  2. Step 2: Convert to fraction form
    432.77/649.46 = 189.37/x
  3. Step 3: Cross multiply
    432.77x = 649.46 × 189.37
  4. Step 4: Simplify right side
    432.77x = 122,988.24
  5. Step 5: Solve for x
    x = 122,988.24/432.77
  6. Step 6: Final answer
    x = 284.19

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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.