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Finding the Fourth Proportional to 662.92, 994.56 and 252.07

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Solution

The fourth proportional to 662.92, 994.56 and 252.07 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.92 : 994.56 = 252.07 : x
  2. Step 2: Convert to fraction form
    662.92/994.56 = 252.07/x
  3. Step 3: Cross multiply
    662.92x = 994.56 × 252.07
  4. Step 4: Simplify right side
    662.92x = 250,698.74
  5. Step 5: Solve for x
    x = 250,698.74/662.92
  6. Step 6: Final answer
    x = 378.17

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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.