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Finding the Fourth Proportional to 351.68, 484.32 and 319.04

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Solution

The fourth proportional to 351.68, 484.32 and 319.04 is: 439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.68 : 484.32 = 319.04 : x
  2. Step 2: Convert to fraction form
    351.68/484.32 = 319.04/x
  3. Step 3: Cross multiply
    351.68x = 484.32 × 319.04
  4. Step 4: Simplify right side
    351.68x = 154,517.45
  5. Step 5: Solve for x
    x = 154,517.45/351.68
  6. Step 6: Final answer
    x = 439.37

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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.