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Finding the Fourth Proportional to 441.65, 662.88 and 225.38

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Solution

The fourth proportional to 441.65, 662.88 and 225.38 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.65 : 662.88 = 225.38 : x
  2. Step 2: Convert to fraction form
    441.65/662.88 = 225.38/x
  3. Step 3: Cross multiply
    441.65x = 662.88 × 225.38
  4. Step 4: Simplify right side
    441.65x = 149,402.40
  5. Step 5: Solve for x
    x = 149,402.40/441.65
  6. Step 6: Final answer
    x = 338.28

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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.