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Finding the Fourth Proportional to 579.98, 799.86 and 506.15

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Solution

The fourth proportional to 579.98, 799.86 and 506.15 is: 698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 799.86 = 506.15 : x
  2. Step 2: Convert to fraction form
    579.98/799.86 = 506.15/x
  3. Step 3: Cross multiply
    579.98x = 799.86 × 506.15
  4. Step 4: Simplify right side
    579.98x = 404,849.14
  5. Step 5: Solve for x
    x = 404,849.14/579.98
  6. Step 6: Final answer
    x = 698.04

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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.