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Finding the Fourth Proportional to 442.16, 662.89 and 268.78

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Solution

The fourth proportional to 442.16, 662.89 and 268.78 is: 402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 662.89 = 268.78 : x
  2. Step 2: Convert to fraction form
    442.16/662.89 = 268.78/x
  3. Step 3: Cross multiply
    442.16x = 662.89 × 268.78
  4. Step 4: Simplify right side
    442.16x = 178,171.57
  5. Step 5: Solve for x
    x = 178,171.57/442.16
  6. Step 6: Final answer
    x = 402.96

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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.