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Finding the Fourth Proportional to 393.21, 590.26 and 210.96

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Solution

The fourth proportional to 393.21, 590.26 and 210.96 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.21 : 590.26 = 210.96 : x
  2. Step 2: Convert to fraction form
    393.21/590.26 = 210.96/x
  3. Step 3: Cross multiply
    393.21x = 590.26 × 210.96
  4. Step 4: Simplify right side
    393.21x = 124,519.67
  5. Step 5: Solve for x
    x = 124,519.67/393.21
  6. Step 6: Final answer
    x = 316.68

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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.