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Finding the Fourth Proportional to 632.56, 949.07 and 324.49

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Solution

The fourth proportional to 632.56, 949.07 and 324.49 is: 486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.56 : 949.07 = 324.49 : x
  2. Step 2: Convert to fraction form
    632.56/949.07 = 324.49/x
  3. Step 3: Cross multiply
    632.56x = 949.07 × 324.49
  4. Step 4: Simplify right side
    632.56x = 307,963.72
  5. Step 5: Solve for x
    x = 307,963.72/632.56
  6. Step 6: Final answer
    x = 486.85

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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.