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Finding the Fourth Proportional to 432.27, 648.06 and 154.53

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Solution

The fourth proportional to 432.27, 648.06 and 154.53 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 648.06 = 154.53 : x
  2. Step 2: Convert to fraction form
    432.27/648.06 = 154.53/x
  3. Step 3: Cross multiply
    432.27x = 648.06 × 154.53
  4. Step 4: Simplify right side
    432.27x = 100,144.71
  5. Step 5: Solve for x
    x = 100,144.71/432.27
  6. Step 6: Final answer
    x = 231.67

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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.