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Finding the Fourth Proportional to 620.30, 930.29 and 209.43

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Solution

The fourth proportional to 620.30, 930.29 and 209.43 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.30 : 930.29 = 209.43 : x
  2. Step 2: Convert to fraction form
    620.30/930.29 = 209.43/x
  3. Step 3: Cross multiply
    620.30x = 930.29 × 209.43
  4. Step 4: Simplify right side
    620.30x = 194,829.59
  5. Step 5: Solve for x
    x = 194,829.59/620.30
  6. Step 6: Final answer
    x = 314.09

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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.