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Finding the Fourth Proportional to 383.53, 575.47 and 200.89

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Solution

The fourth proportional to 383.53, 575.47 and 200.89 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.53 : 575.47 = 200.89 : x
  2. Step 2: Convert to fraction form
    383.53/575.47 = 200.89/x
  3. Step 3: Cross multiply
    383.53x = 575.47 × 200.89
  4. Step 4: Simplify right side
    383.53x = 115,603.54
  5. Step 5: Solve for x
    x = 115,603.54/383.53
  6. Step 6: Final answer
    x = 301.42

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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.