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Finding the Fourth Proportional to 441.56, 609.04 and 294.14

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Solution

The fourth proportional to 441.56, 609.04 and 294.14 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 609.04 = 294.14 : x
  2. Step 2: Convert to fraction form
    441.56/609.04 = 294.14/x
  3. Step 3: Cross multiply
    441.56x = 609.04 × 294.14
  4. Step 4: Simplify right side
    441.56x = 179,143.03
  5. Step 5: Solve for x
    x = 179,143.03/441.56
  6. Step 6: Final answer
    x = 405.70

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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.