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Finding the Fourth Proportional to 324, 447.20 and 199.77

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Solution

The fourth proportional to 324, 447.20 and 199.77 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 447.20 = 199.77 : x
  2. Step 2: Convert to fraction form
    324/447.20 = 199.77/x
  3. Step 3: Cross multiply
    324x = 447.20 × 199.77
  4. Step 4: Simplify right side
    324x = 89,336.15
  5. Step 5: Solve for x
    x = 89,336.15/324
  6. Step 6: Final answer
    x = 275.73

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Why These Related Problems?

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