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Finding the Fourth Proportional to 432.57, 648.84 and 189.09

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Solution

The fourth proportional to 432.57, 648.84 and 189.09 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.57 : 648.84 = 189.09 : x
  2. Step 2: Convert to fraction form
    432.57/648.84 = 189.09/x
  3. Step 3: Cross multiply
    432.57x = 648.84 × 189.09
  4. Step 4: Simplify right side
    432.57x = 122,689.83
  5. Step 5: Solve for x
    x = 122,689.83/432.57
  6. Step 6: Final answer
    x = 283.63

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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.