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Finding the Fourth Proportional to 432.84, 648.90 and 189.48

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Solution

The fourth proportional to 432.84, 648.90 and 189.48 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 648.90 = 189.48 : x
  2. Step 2: Convert to fraction form
    432.84/648.90 = 189.48/x
  3. Step 3: Cross multiply
    432.84x = 648.90 × 189.48
  4. Step 4: Simplify right side
    432.84x = 122,953.57
  5. Step 5: Solve for x
    x = 122,953.57/432.84
  6. Step 6: Final answer
    x = 284.06

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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.