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Finding the Fourth Proportional to 324.89, 448.29 and 200.57

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Solution

The fourth proportional to 324.89, 448.29 and 200.57 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.89 : 448.29 = 200.57 : x
  2. Step 2: Convert to fraction form
    324.89/448.29 = 200.57/x
  3. Step 3: Cross multiply
    324.89x = 448.29 × 200.57
  4. Step 4: Simplify right side
    324.89x = 89,913.53
  5. Step 5: Solve for x
    x = 89,913.53/324.89
  6. Step 6: Final answer
    x = 276.75

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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.