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Finding the Fourth Proportional to 441.46, 661.78 and 236.17

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Solution

The fourth proportional to 441.46, 661.78 and 236.17 is: 354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.46 : 661.78 = 236.17 : x
  2. Step 2: Convert to fraction form
    441.46/661.78 = 236.17/x
  3. Step 3: Cross multiply
    441.46x = 661.78 × 236.17
  4. Step 4: Simplify right side
    441.46x = 156,292.58
  5. Step 5: Solve for x
    x = 156,292.58/441.46
  6. Step 6: Final answer
    x = 354.04

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Why These Related Problems?

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