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Finding the Fourth Proportional to 594.25, 891.37 and 229.30

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Solution

The fourth proportional to 594.25, 891.37 and 229.30 is: 343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.25 : 891.37 = 229.30 : x
  2. Step 2: Convert to fraction form
    594.25/891.37 = 229.30/x
  3. Step 3: Cross multiply
    594.25x = 891.37 × 229.30
  4. Step 4: Simplify right side
    594.25x = 204,391.14
  5. Step 5: Solve for x
    x = 204,391.14/594.25
  6. Step 6: Final answer
    x = 343.95

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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.