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Finding the Fourth Proportional to 579.52, 799.81 and 355.46

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Solution

The fourth proportional to 579.52, 799.81 and 355.46 is: 490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.52 : 799.81 = 355.46 : x
  2. Step 2: Convert to fraction form
    579.52/799.81 = 355.46/x
  3. Step 3: Cross multiply
    579.52x = 799.81 × 355.46
  4. Step 4: Simplify right side
    579.52x = 284,295.57
  5. Step 5: Solve for x
    x = 284,295.57/579.52
  6. Step 6: Final answer
    x = 490.57

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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.