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Finding the Fourth Proportional to 432.54, 648.42 and 185.76

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Solution

The fourth proportional to 432.54, 648.42 and 185.76 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 648.42 = 185.76 : x
  2. Step 2: Convert to fraction form
    432.54/648.42 = 185.76/x
  3. Step 3: Cross multiply
    432.54x = 648.42 × 185.76
  4. Step 4: Simplify right side
    432.54x = 120,450.50
  5. Step 5: Solve for x
    x = 120,450.50/432.54
  6. Step 6: Final answer
    x = 278.47

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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.