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Finding the Fourth Proportional to 432.09, 648.13 and 188.61

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Solution

The fourth proportional to 432.09, 648.13 and 188.61 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 648.13 = 188.61 : x
  2. Step 2: Convert to fraction form
    432.09/648.13 = 188.61/x
  3. Step 3: Cross multiply
    432.09x = 648.13 × 188.61
  4. Step 4: Simplify right side
    432.09x = 122,243.80
  5. Step 5: Solve for x
    x = 122,243.80/432.09
  6. Step 6: Final answer
    x = 282.91

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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.