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Finding the Fourth Proportional to 632.96, 949.72 and 267.84

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Solution

The fourth proportional to 632.96, 949.72 and 267.84 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.96 : 949.72 = 267.84 : x
  2. Step 2: Convert to fraction form
    632.96/949.72 = 267.84/x
  3. Step 3: Cross multiply
    632.96x = 949.72 × 267.84
  4. Step 4: Simplify right side
    632.96x = 254,373.00
  5. Step 5: Solve for x
    x = 254,373.00/632.96
  6. Step 6: Final answer
    x = 401.88

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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.