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Finding the Fourth Proportional to 432.42, 648.69 and 188.94

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Solution

The fourth proportional to 432.42, 648.69 and 188.94 is: 283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 648.69 = 188.94 : x
  2. Step 2: Convert to fraction form
    432.42/648.69 = 188.94/x
  3. Step 3: Cross multiply
    432.42x = 648.69 × 188.94
  4. Step 4: Simplify right side
    432.42x = 122,563.49
  5. Step 5: Solve for x
    x = 122,563.49/432.42
  6. Step 6: Final answer
    x = 283.44

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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.