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Finding the Fourth Proportional to 441.48, 661.32 and 224.68

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Solution

The fourth proportional to 441.48, 661.32 and 224.68 is: 336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.48 : 661.32 = 224.68 : x
  2. Step 2: Convert to fraction form
    441.48/661.32 = 224.68/x
  3. Step 3: Cross multiply
    441.48x = 661.32 × 224.68
  4. Step 4: Simplify right side
    441.48x = 148,585.38
  5. Step 5: Solve for x
    x = 148,585.38/441.48
  6. Step 6: Final answer
    x = 336.56

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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.