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Finding the Fourth Proportional to 351.96, 483.68 and 289.68

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Solution

The fourth proportional to 351.96, 483.68 and 289.68 is: 398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.96 : 483.68 = 289.68 : x
  2. Step 2: Convert to fraction form
    351.96/483.68 = 289.68/x
  3. Step 3: Cross multiply
    351.96x = 483.68 × 289.68
  4. Step 4: Simplify right side
    351.96x = 140,112.42
  5. Step 5: Solve for x
    x = 140,112.42/351.96
  6. Step 6: Final answer
    x = 398.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.