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Finding the Fourth Proportional to 632.66, 949.27 and 222.09

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Solution

The fourth proportional to 632.66, 949.27 and 222.09 is: 333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 949.27 = 222.09 : x
  2. Step 2: Convert to fraction form
    632.66/949.27 = 222.09/x
  3. Step 3: Cross multiply
    632.66x = 949.27 × 222.09
  4. Step 4: Simplify right side
    632.66x = 210,823.37
  5. Step 5: Solve for x
    x = 210,823.37/632.66
  6. Step 6: Final answer
    x = 333.23

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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.