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Finding the Fourth Proportional to 579.29, 800.96 and 506.39

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Solution

The fourth proportional to 579.29, 800.96 and 506.39 is: 700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.29 : 800.96 = 506.39 : x
  2. Step 2: Convert to fraction form
    579.29/800.96 = 506.39/x
  3. Step 3: Cross multiply
    579.29x = 800.96 × 506.39
  4. Step 4: Simplify right side
    579.29x = 405,591.60
  5. Step 5: Solve for x
    x = 405,591.60/579.29
  6. Step 6: Final answer
    x = 700.16

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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.