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Finding the Fourth Proportional to 402.29, 603.31 and 207.23

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Solution

The fourth proportional to 402.29, 603.31 and 207.23 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.29 : 603.31 = 207.23 : x
  2. Step 2: Convert to fraction form
    402.29/603.31 = 207.23/x
  3. Step 3: Cross multiply
    402.29x = 603.31 × 207.23
  4. Step 4: Simplify right side
    402.29x = 125,022.27
  5. Step 5: Solve for x
    x = 125,022.27/402.29
  6. Step 6: Final answer
    x = 310.78

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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.