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Finding the Fourth Proportional to 574.96, 793.68 and 365.44

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Solution

The fourth proportional to 574.96, 793.68 and 365.44 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.96 : 793.68 = 365.44 : x
  2. Step 2: Convert to fraction form
    574.96/793.68 = 365.44/x
  3. Step 3: Cross multiply
    574.96x = 793.68 × 365.44
  4. Step 4: Simplify right side
    574.96x = 290,042.42
  5. Step 5: Solve for x
    x = 290,042.42/574.96
  6. Step 6: Final answer
    x = 504.46

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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.