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Finding the Fourth Proportional to 432.41, 648.68 and 189.14

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Solution

The fourth proportional to 432.41, 648.68 and 189.14 is: 283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.41 : 648.68 = 189.14 : x
  2. Step 2: Convert to fraction form
    432.41/648.68 = 189.14/x
  3. Step 3: Cross multiply
    432.41x = 648.68 × 189.14
  4. Step 4: Simplify right side
    432.41x = 122,687.15
  5. Step 5: Solve for x
    x = 122,687.15/432.41
  6. Step 6: Final answer
    x = 283.73

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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.