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Finding the Fourth Proportional to 632.81, 949.08 and 216.30

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Solution

The fourth proportional to 632.81, 949.08 and 216.30 is: 324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.81 : 949.08 = 216.30 : x
  2. Step 2: Convert to fraction form
    632.81/949.08 = 216.30/x
  3. Step 3: Cross multiply
    632.81x = 949.08 × 216.30
  4. Step 4: Simplify right side
    632.81x = 205,286.00
  5. Step 5: Solve for x
    x = 205,286.00/632.81
  6. Step 6: Final answer
    x = 324.40

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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.