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Finding the Fourth Proportional to 574.82, 793.24 and 353.78

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Solution

The fourth proportional to 574.82, 793.24 and 353.78 is: 488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 793.24 = 353.78 : x
  2. Step 2: Convert to fraction form
    574.82/793.24 = 353.78/x
  3. Step 3: Cross multiply
    574.82x = 793.24 × 353.78
  4. Step 4: Simplify right side
    574.82x = 280,632.45
  5. Step 5: Solve for x
    x = 280,632.45/574.82
  6. Step 6: Final answer
    x = 488.21

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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.