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Finding the Fourth Proportional to 441.46, 662.15 and 152.88

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Solution

The fourth proportional to 441.46, 662.15 and 152.88 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.46 : 662.15 = 152.88 : x
  2. Step 2: Convert to fraction form
    441.46/662.15 = 152.88/x
  3. Step 3: Cross multiply
    441.46x = 662.15 × 152.88
  4. Step 4: Simplify right side
    441.46x = 101,229.49
  5. Step 5: Solve for x
    x = 101,229.49/441.46
  6. Step 6: Final answer
    x = 229.31

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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.