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Finding the Fourth Proportional to 351.09, 484.73 and 314.19

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Solution

The fourth proportional to 351.09, 484.73 and 314.19 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.09 : 484.73 = 314.19 : x
  2. Step 2: Convert to fraction form
    351.09/484.73 = 314.19/x
  3. Step 3: Cross multiply
    351.09x = 484.73 × 314.19
  4. Step 4: Simplify right side
    351.09x = 152,296.29
  5. Step 5: Solve for x
    x = 152,296.29/351.09
  6. Step 6: Final answer
    x = 433.78

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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.