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Finding the Fourth Proportional to 383.48, 575.52 and 200.80

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Solution

The fourth proportional to 383.48, 575.52 and 200.80 is: 301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 575.52 = 200.80 : x
  2. Step 2: Convert to fraction form
    383.48/575.52 = 200.80/x
  3. Step 3: Cross multiply
    383.48x = 575.52 × 200.80
  4. Step 4: Simplify right side
    383.48x = 115,564.42
  5. Step 5: Solve for x
    x = 115,564.42/383.48
  6. Step 6: Final answer
    x = 301.36

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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.