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Finding the Fourth Proportional to 579.17, 799.29 and 382.34

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Solution

The fourth proportional to 579.17, 799.29 and 382.34 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.17 : 799.29 = 382.34 : x
  2. Step 2: Convert to fraction form
    579.17/799.29 = 382.34/x
  3. Step 3: Cross multiply
    579.17x = 799.29 × 382.34
  4. Step 4: Simplify right side
    579.17x = 305,596.54
  5. Step 5: Solve for x
    x = 305,596.54/579.17
  6. Step 6: Final answer
    x = 527.65

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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.