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Finding the Fourth Proportional to 574.41, 792.71 and 325.78

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Solution

The fourth proportional to 574.41, 792.71 and 325.78 is: 449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 792.71 = 325.78 : x
  2. Step 2: Convert to fraction form
    574.41/792.71 = 325.78/x
  3. Step 3: Cross multiply
    574.41x = 792.71 × 325.78
  4. Step 4: Simplify right side
    574.41x = 258,249.82
  5. Step 5: Solve for x
    x = 258,249.82/574.41
  6. Step 6: Final answer
    x = 449.59

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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.