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Finding the Fourth Proportional to 688.20, 949.83 and 467

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Solution

The fourth proportional to 688.20, 949.83 and 467 is: 644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.20 : 949.83 = 467 : x
  2. Step 2: Convert to fraction form
    688.20/949.83 = 467/x
  3. Step 3: Cross multiply
    688.20x = 949.83 × 467
  4. Step 4: Simplify right side
    688.20x = 443,568.28
  5. Step 5: Solve for x
    x = 443,568.28/688.20
  6. Step 6: Final answer
    x = 644.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.