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Finding the Fourth Proportional to 632.89, 949.34 and 324.69

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Solution

The fourth proportional to 632.89, 949.34 and 324.69 is: 487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.89 : 949.34 = 324.69 : x
  2. Step 2: Convert to fraction form
    632.89/949.34 = 324.69/x
  3. Step 3: Cross multiply
    632.89x = 949.34 × 324.69
  4. Step 4: Simplify right side
    632.89x = 308,241.20
  5. Step 5: Solve for x
    x = 308,241.20/632.89
  6. Step 6: Final answer
    x = 487.04

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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.