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Finding the Fourth Proportional to 393.23, 590.23 and 210.75

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Solution

The fourth proportional to 393.23, 590.23 and 210.75 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.23 : 590.23 = 210.75 : x
  2. Step 2: Convert to fraction form
    393.23/590.23 = 210.75/x
  3. Step 3: Cross multiply
    393.23x = 590.23 × 210.75
  4. Step 4: Simplify right side
    393.23x = 124,390.97
  5. Step 5: Solve for x
    x = 124,390.97/393.23
  6. Step 6: Final answer
    x = 316.33

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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.