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Finding the Fourth Proportional to 441.26, 661.92 and 210.11

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Solution

The fourth proportional to 441.26, 661.92 and 210.11 is: 315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.26 : 661.92 = 210.11 : x
  2. Step 2: Convert to fraction form
    441.26/661.92 = 210.11/x
  3. Step 3: Cross multiply
    441.26x = 661.92 × 210.11
  4. Step 4: Simplify right side
    441.26x = 139,076.01
  5. Step 5: Solve for x
    x = 139,076.01/441.26
  6. Step 6: Final answer
    x = 315.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.