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Finding the Fourth Proportional to 402.26, 603.12 and 207.12

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Solution

The fourth proportional to 402.26, 603.12 and 207.12 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 603.12 = 207.12 : x
  2. Step 2: Convert to fraction form
    402.26/603.12 = 207.12/x
  3. Step 3: Cross multiply
    402.26x = 603.12 × 207.12
  4. Step 4: Simplify right side
    402.26x = 124,918.21
  5. Step 5: Solve for x
    x = 124,918.21/402.26
  6. Step 6: Final answer
    x = 310.54

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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.