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Finding the Fourth Proportional to 432.32, 648.41 and 188.84

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Solution

The fourth proportional to 432.32, 648.41 and 188.84 is: 283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.32 : 648.41 = 188.84 : x
  2. Step 2: Convert to fraction form
    432.32/648.41 = 188.84/x
  3. Step 3: Cross multiply
    432.32x = 648.41 × 188.84
  4. Step 4: Simplify right side
    432.32x = 122,446.42
  5. Step 5: Solve for x
    x = 122,446.42/432.32
  6. Step 6: Final answer
    x = 283.23

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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.