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Finding the Fourth Proportional to 638.06, 955.46 and 393.84

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Solution

The fourth proportional to 638.06, 955.46 and 393.84 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.06 : 955.46 = 393.84 : x
  2. Step 2: Convert to fraction form
    638.06/955.46 = 393.84/x
  3. Step 3: Cross multiply
    638.06x = 955.46 × 393.84
  4. Step 4: Simplify right side
    638.06x = 376,299.35
  5. Step 5: Solve for x
    x = 376,299.35/638.06
  6. Step 6: Final answer
    x = 589.76

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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.