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Finding the Fourth Proportional to 579.75, 799.82 and 446.75

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Solution

The fourth proportional to 579.75, 799.82 and 446.75 is: 616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.75 : 799.82 = 446.75 : x
  2. Step 2: Convert to fraction form
    579.75/799.82 = 446.75/x
  3. Step 3: Cross multiply
    579.75x = 799.82 × 446.75
  4. Step 4: Simplify right side
    579.75x = 357,313.35
  5. Step 5: Solve for x
    x = 357,313.35/579.75
  6. Step 6: Final answer
    x = 616.32

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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.