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Finding the Fourth Proportional to 662.97, 994.50 and 316.25

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Solution

The fourth proportional to 662.97, 994.50 and 316.25 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.97 : 994.50 = 316.25 : x
  2. Step 2: Convert to fraction form
    662.97/994.50 = 316.25/x
  3. Step 3: Cross multiply
    662.97x = 994.50 × 316.25
  4. Step 4: Simplify right side
    662.97x = 314,505.65
  5. Step 5: Solve for x
    x = 314,505.65/662.97
  6. Step 6: Final answer
    x = 474.39

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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.