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Finding the Fourth Proportional to 301.80, 452.08 and 229.44

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Solution

The fourth proportional to 301.80, 452.08 and 229.44 is: 343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 452.08 = 229.44 : x
  2. Step 2: Convert to fraction form
    301.80/452.08 = 229.44/x
  3. Step 3: Cross multiply
    301.80x = 452.08 × 229.44
  4. Step 4: Simplify right side
    301.80x = 103,725.24
  5. Step 5: Solve for x
    x = 103,725.24/301.80
  6. Step 6: Final answer
    x = 343.69

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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.