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Finding the Fourth Proportional to 574.60, 793.06 and 325.92

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Solution

The fourth proportional to 574.60, 793.06 and 325.92 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.60 : 793.06 = 325.92 : x
  2. Step 2: Convert to fraction form
    574.60/793.06 = 325.92/x
  3. Step 3: Cross multiply
    574.60x = 793.06 × 325.92
  4. Step 4: Simplify right side
    574.60x = 258,474.12
  5. Step 5: Solve for x
    x = 258,474.12/574.60
  6. Step 6: Final answer
    x = 449.83

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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.