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Finding the Fourth Proportional to 432.63, 649.14 and 189.23

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Solution

The fourth proportional to 432.63, 649.14 and 189.23 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 649.14 = 189.23 : x
  2. Step 2: Convert to fraction form
    432.63/649.14 = 189.23/x
  3. Step 3: Cross multiply
    432.63x = 649.14 × 189.23
  4. Step 4: Simplify right side
    432.63x = 122,833.52
  5. Step 5: Solve for x
    x = 122,833.52/432.63
  6. Step 6: Final answer
    x = 283.92

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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.