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Finding the Fourth Proportional to 432.67, 649 and 108.04

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Solution

The fourth proportional to 432.67, 649 and 108.04 is: 162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.67 : 649 = 108.04 : x
  2. Step 2: Convert to fraction form
    432.67/649 = 108.04/x
  3. Step 3: Cross multiply
    432.67x = 649 × 108.04
  4. Step 4: Simplify right side
    432.67x = 70,117.96
  5. Step 5: Solve for x
    x = 70,117.96/432.67
  6. Step 6: Final answer
    x = 162.06

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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.