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Finding the Fourth Proportional to 632.74, 949.12 and 323.72

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Solution

The fourth proportional to 632.74, 949.12 and 323.72 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.74 : 949.12 = 323.72 : x
  2. Step 2: Convert to fraction form
    632.74/949.12 = 323.72/x
  3. Step 3: Cross multiply
    632.74x = 949.12 × 323.72
  4. Step 4: Simplify right side
    632.74x = 307,249.13
  5. Step 5: Solve for x
    x = 307,249.13/632.74
  6. Step 6: Final answer
    x = 485.59

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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.