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Finding the Fourth Proportional to 441.50, 609.28 and 264.61

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Solution

The fourth proportional to 441.50, 609.28 and 264.61 is: 365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.50 : 609.28 = 264.61 : x
  2. Step 2: Convert to fraction form
    441.50/609.28 = 264.61/x
  3. Step 3: Cross multiply
    441.50x = 609.28 × 264.61
  4. Step 4: Simplify right side
    441.50x = 161,221.58
  5. Step 5: Solve for x
    x = 161,221.58/441.50
  6. Step 6: Final answer
    x = 365.17

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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.