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Finding the Fourth Proportional to 393.68, 589.72 and 230.88

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Solution

The fourth proportional to 393.68, 589.72 and 230.88 is: 345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 589.72 = 230.88 : x
  2. Step 2: Convert to fraction form
    393.68/589.72 = 230.88/x
  3. Step 3: Cross multiply
    393.68x = 589.72 × 230.88
  4. Step 4: Simplify right side
    393.68x = 136,154.55
  5. Step 5: Solve for x
    x = 136,154.55/393.68
  6. Step 6: Final answer
    x = 345.85

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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.