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Finding the Fourth Proportional to 297.83, 447.12 and 229.40

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Solution

The fourth proportional to 297.83, 447.12 and 229.40 is: 344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.83 : 447.12 = 229.40 : x
  2. Step 2: Convert to fraction form
    297.83/447.12 = 229.40/x
  3. Step 3: Cross multiply
    297.83x = 447.12 × 229.40
  4. Step 4: Simplify right side
    297.83x = 102,567.09
  5. Step 5: Solve for x
    x = 102,567.09/297.83
  6. Step 6: Final answer
    x = 344.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.