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Finding the Fourth Proportional to 289.80, 399.21 and 252.88

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Solution

The fourth proportional to 289.80, 399.21 and 252.88 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 399.21 = 252.88 : x
  2. Step 2: Convert to fraction form
    289.80/399.21 = 252.88/x
  3. Step 3: Cross multiply
    289.80x = 399.21 × 252.88
  4. Step 4: Simplify right side
    289.80x = 100,952.22
  5. Step 5: Solve for x
    x = 100,952.22/289.80
  6. Step 6: Final answer
    x = 348.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.