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Finding the Fourth Proportional to 432.44, 648.54 and 188.91

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Solution

The fourth proportional to 432.44, 648.54 and 188.91 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 648.54 = 188.91 : x
  2. Step 2: Convert to fraction form
    432.44/648.54 = 188.91/x
  3. Step 3: Cross multiply
    432.44x = 648.54 × 188.91
  4. Step 4: Simplify right side
    432.44x = 122,515.69
  5. Step 5: Solve for x
    x = 122,515.69/432.44
  6. Step 6: Final answer
    x = 283.32

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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.