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Finding the Fourth Proportional to 432.84, 648.92 and 249.91

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Solution

The fourth proportional to 432.84, 648.92 and 249.91 is: 374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 648.92 = 249.91 : x
  2. Step 2: Convert to fraction form
    432.84/648.92 = 249.91/x
  3. Step 3: Cross multiply
    432.84x = 648.92 × 249.91
  4. Step 4: Simplify right side
    432.84x = 162,172.78
  5. Step 5: Solve for x
    x = 162,172.78/432.84
  6. Step 6: Final answer
    x = 374.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.