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Finding the Fourth Proportional to 662.75, 994.13 and 297.51

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Solution

The fourth proportional to 662.75, 994.13 and 297.51 is: 446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.75 : 994.13 = 297.51 : x
  2. Step 2: Convert to fraction form
    662.75/994.13 = 297.51/x
  3. Step 3: Cross multiply
    662.75x = 994.13 × 297.51
  4. Step 4: Simplify right side
    662.75x = 295,759.52
  5. Step 5: Solve for x
    x = 295,759.52/662.75
  6. Step 6: Final answer
    x = 446.26

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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.