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Finding the Fourth Proportional to 324.64, 448.16 and 200.48

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Solution

The fourth proportional to 324.64, 448.16 and 200.48 is: 276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 448.16 = 200.48 : x
  2. Step 2: Convert to fraction form
    324.64/448.16 = 200.48/x
  3. Step 3: Cross multiply
    324.64x = 448.16 × 200.48
  4. Step 4: Simplify right side
    324.64x = 89,847.12
  5. Step 5: Solve for x
    x = 89,847.12/324.64
  6. Step 6: Final answer
    x = 276.76

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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.