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Finding the Fourth Proportional to 632.66, 949.04 and 221.78

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Solution

The fourth proportional to 632.66, 949.04 and 221.78 is: 332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 949.04 = 221.78 : x
  2. Step 2: Convert to fraction form
    632.66/949.04 = 221.78/x
  3. Step 3: Cross multiply
    632.66x = 949.04 × 221.78
  4. Step 4: Simplify right side
    632.66x = 210,478.09
  5. Step 5: Solve for x
    x = 210,478.09/632.66
  6. Step 6: Final answer
    x = 332.69

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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.