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Finding the Fourth Proportional to 441.52, 662.24 and 152.96

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Solution

The fourth proportional to 441.52, 662.24 and 152.96 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 662.24 = 152.96 : x
  2. Step 2: Convert to fraction form
    441.52/662.24 = 152.96/x
  3. Step 3: Cross multiply
    441.52x = 662.24 × 152.96
  4. Step 4: Simplify right side
    441.52x = 101,296.23
  5. Step 5: Solve for x
    x = 101,296.23/441.52
  6. Step 6: Final answer
    x = 229.43

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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.