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Finding the Fourth Proportional to 324.83, 448.13 and 200.40

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Solution

The fourth proportional to 324.83, 448.13 and 200.40 is: 276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.83 : 448.13 = 200.40 : x
  2. Step 2: Convert to fraction form
    324.83/448.13 = 200.40/x
  3. Step 3: Cross multiply
    324.83x = 448.13 × 200.40
  4. Step 4: Simplify right side
    324.83x = 89,805.25
  5. Step 5: Solve for x
    x = 89,805.25/324.83
  6. Step 6: Final answer
    x = 276.47

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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.