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Finding the Fourth Proportional to 393.20, 589.88 and 210.80

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Solution

The fourth proportional to 393.20, 589.88 and 210.80 is: 316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.20 : 589.88 = 210.80 : x
  2. Step 2: Convert to fraction form
    393.20/589.88 = 210.80/x
  3. Step 3: Cross multiply
    393.20x = 589.88 × 210.80
  4. Step 4: Simplify right side
    393.20x = 124,348.71
  5. Step 5: Solve for x
    x = 124,348.71/393.20
  6. Step 6: Final answer
    x = 316.24

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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.