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Finding the Fourth Proportional to 579.64, 796.81 and 499.59

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Solution

The fourth proportional to 579.64, 796.81 and 499.59 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.64 : 796.81 = 499.59 : x
  2. Step 2: Convert to fraction form
    579.64/796.81 = 499.59/x
  3. Step 3: Cross multiply
    579.64x = 796.81 × 499.59
  4. Step 4: Simplify right side
    579.64x = 398,078.31
  5. Step 5: Solve for x
    x = 398,078.31/579.64
  6. Step 6: Final answer
    x = 686.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.