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Finding the Fourth Proportional to 578.93, 799.07 and 357.75

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Solution

The fourth proportional to 578.93, 799.07 and 357.75 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.93 : 799.07 = 357.75 : x
  2. Step 2: Convert to fraction form
    578.93/799.07 = 357.75/x
  3. Step 3: Cross multiply
    578.93x = 799.07 × 357.75
  4. Step 4: Simplify right side
    578.93x = 285,866.40
  5. Step 5: Solve for x
    x = 285,866.40/578.93
  6. Step 6: Final answer
    x = 493.78

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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.