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Finding the Fourth Proportional to 441.52, 609.24 and 252.46

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Solution

The fourth proportional to 441.52, 609.24 and 252.46 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 609.24 = 252.46 : x
  2. Step 2: Convert to fraction form
    441.52/609.24 = 252.46/x
  3. Step 3: Cross multiply
    441.52x = 609.24 × 252.46
  4. Step 4: Simplify right side
    441.52x = 153,808.73
  5. Step 5: Solve for x
    x = 153,808.73/441.52
  6. Step 6: Final answer
    x = 348.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.