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Finding the Fourth Proportional to 394.07, 590.90 and 211.14

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Solution

The fourth proportional to 394.07, 590.90 and 211.14 is: 316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.07 : 590.90 = 211.14 : x
  2. Step 2: Convert to fraction form
    394.07/590.90 = 211.14/x
  3. Step 3: Cross multiply
    394.07x = 590.90 × 211.14
  4. Step 4: Simplify right side
    394.07x = 124,761.57
  5. Step 5: Solve for x
    x = 124,761.57/394.07
  6. Step 6: Final answer
    x = 316.60

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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.