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Finding the Fourth Proportional to 579.97, 800.36 and 314.41

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Solution

The fourth proportional to 579.97, 800.36 and 314.41 is: 433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.97 : 800.36 = 314.41 : x
  2. Step 2: Convert to fraction form
    579.97/800.36 = 314.41/x
  3. Step 3: Cross multiply
    579.97x = 800.36 × 314.41
  4. Step 4: Simplify right side
    579.97x = 251,640.29
  5. Step 5: Solve for x
    x = 251,640.29/579.97
  6. Step 6: Final answer
    x = 433.88

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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.