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Finding the Fourth Proportional to 668.25, 1,002.38 and 212.25

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Solution

The fourth proportional to 668.25, 1,002.38 and 212.25 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.25 : 1,002.38 = 212.25 : x
  2. Step 2: Convert to fraction form
    668.25/1,002.38 = 212.25/x
  3. Step 3: Cross multiply
    668.25x = 1,002.38 × 212.25
  4. Step 4: Simplify right side
    668.25x = 212,754.09
  5. Step 5: Solve for x
    x = 212,754.09/668.25
  6. Step 6: Final answer
    x = 318.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.